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202422420 = 223254771337
BaseRepresentation
bin11000001000010…
…11100010010100
3112002220010100200
430010023202110
5403310004140
632030340500
75005363554
oct1404134224
9462803320
10202422420
11a4297a62
125795a730
1332c24aa5
141cc53164
1512b87030
hexc10b894

202422420 has 144 divisors (see below), whose sum is σ = 637797888. Its totient is φ = 51932160.

The previous prime is 202422419. The next prime is 202422427. The reversal of 202422420 is 24224202.

202422420 is a `hidden beast` number, since 2 + 0 + 242 + 2 + 420 = 666.

It is a super-2 number, since 2×2024224202 = 81949672237312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202422393 and 202422402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202422427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600492 + ... + 600828.

It is an arithmetic number, because the mean of its divisors is an integer number (4429152).

Almost surely, 2202422420 is an apocalyptic number.

202422420 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 202422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318898944).

202422420 is an abundant number, since it is smaller than the sum of its proper divisors (435375468).

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

202422420 is a wasteful number, since it uses less digits than its factorization.

202422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 202422420 is about 14227.5233262856. The cubic root of 202422420 is about 587.1551451320.

Adding to 202422420 its reverse (24224202), we get a palindrome (226646622).

The spelling of 202422420 in words is "two hundred two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 71 90 94 141 142 180 188 213 235 282 284 337 355 423 426 470 564 639 674 705 710 846 852 940 1011 1065 1278 1348 1410 1420 1685 1692 2022 2115 2130 2556 2820 3033 3195 3337 3370 4044 4230 4260 5055 6066 6390 6674 6740 8460 10011 10110 12132 12780 13348 15165 15839 16685 20022 20220 23927 30033 30330 31678 33370 40044 47517 47854 50055 60066 60660 63356 66740 71781 79195 95034 95708 100110 119635 120132 142551 143562 150165 158390 190068 200220 215343 237585 239270 285102 287124 300330 316780 358905 430686 475170 478540 570204 600660 712755 717810 861372 950340 1076715 1124569 1425510 1435620 2153430 2249138 2851020 3373707 4306860 4498276 5622845 6747414 10121121 11245690 13494828 16868535 20242242 22491380 33737070 40484484 50605605 67474140 101211210 202422420