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20202202320 = 2435794192543
BaseRepresentation
bin10010110100001001…
…010010010011010000
31221010221000012200120
4102310021102103100
5312333230433240
613140351150240
71313425613016
oct226411222320
957127005616
1020202202320
118627686683
123ab9815380
131b9c553491
14d990bc8b6
157d38acad0
hex4b42524d0

20202202320 has 160 divisors (see below), whose sum is σ = 63595929600. Its totient is φ = 5304279552.

The previous prime is 20202202313. The next prime is 20202202327. The reversal of 20202202320 is 2320220202.

It is an interprime number because it is at equal distance from previous prime (20202202313) and next prime (20202202327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20202202320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202202327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7942969 + ... + 7945511.

It is an arithmetic number, because the mean of its divisors is an integer number (397474560).

Almost surely, 220202202320 is an apocalyptic number.

20202202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31797964800).

20202202320 is an abundant number, since it is smaller than the sum of its proper divisors (43393727280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20202202320 is a wasteful number, since it uses less digits than its factorization.

20202202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20202202320 its reverse (2320220202), we get a palindrome (22522422522).

The spelling of 20202202320 in words is "twenty billion, two hundred two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 419 474 632 790 838 948 1185 1257 1264 1580 1676 1896 2095 2370 2514 2543 3160 3352 3792 4190 4740 5028 5086 6285 6320 6704 7629 8380 9480 10056 10172 12570 12715 15258 16760 18960 20112 20344 25140 25430 30516 33101 33520 38145 40688 50280 50860 61032 66202 76290 99303 100560 101720 122064 132404 152580 165505 198606 200897 203440 264808 305160 331010 397212 401794 496515 529616 602691 610320 662020 794424 803588 993030 1004485 1065517 1205382 1324040 1588848 1607176 1986060 2008970 2131034 2410764 2648080 3013455 3196551 3214352 3972120 4017940 4262068 4821528 5327585 6026910 6393102 7944240 8035880 8524136 9643056 10655170 12053820 12786204 15982755 16071760 17048272 21310340 24107640 25572408 31965510 42620680 48215280 51144816 63931020 84175843 85241360 127862040 168351686 252527529 255724080 336703372 420879215 505055058 673406744 841758430 1010110116 1262637645 1346813488 1683516860 2020220232 2525275290 3367033720 4040440464 5050550580 6734067440 10101101160 20202202320