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202000002320 = 24511322997577
BaseRepresentation
bin1011110000100000100…
…0110110110100010000
3201022101201122022220102
42330020020312310100
511302144000033240
6232444133031532
720410514455364
oct2741010666420
9638351568812
10202000002320
117873880a586
12331954855a8
13160827975bc
149ac397b2a4
1553c3d37815
hex2f08236d10

202000002320 has 80 divisors (see below), whose sum is σ = 475880099760. Its totient is φ = 79734423552.

The previous prime is 202000002319. The next prime is 202000002371. The reversal of 202000002320 is 23200000202.

It can be written as a sum of positive squares in 8 ways, for example, as 24331008256 + 177668994064 = 155984^2 + 421508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021372 + ... + 2118948.

It is an arithmetic number, because the mean of its divisors is an integer number (5948501247).

Almost surely, 2202000002320 is an apocalyptic number.

202000002320 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 202000002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237940049880).

202000002320 is an abundant number, since it is smaller than the sum of its proper divisors (273880097440).

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

202000002320 is a wasteful number, since it uses less digits than its factorization.

202000002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97932 (or 97926 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 202000002320 its reverse (23200000202), we get a palindrome (225200002522).

The spelling of 202000002320 in words is "two hundred two billion, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 229 452 458 565 904 916 1130 1145 1808 1832 2260 2290 3664 4520 4580 9040 9160 18320 25877 51754 97577 103508 129385 195154 207016 258770 390308 414032 487885 517540 780616 975770 1035080 1561232 1951540 2070160 3903080 7806160 11026201 22052402 22345133 44104804 44690266 55131005 88209608 89380532 110262010 111725665 176419216 178761064 220524020 223451330 357522128 441048040 446902660 882096080 893805320 1787610640 2525000029 5050000058 10100000116 12625000145 20200000232 25250000290 40400000464 50500000580 101000001160 202000002320