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163272252 = 22311133563
BaseRepresentation
bin10011011101101…
…01011000111100
3102101020002102110
421232311120330
5313244203002
624111254020
74021535253
oct1156653074
9371202373
10163272252
1184187950
124681a310
1327a98000
141798179a
15e501e6c
hex9bb563c

163272252 has 96 divisors (see below), whose sum is σ = 451019520. Its totient is φ = 45589440.

The previous prime is 163272251. The next prime is 163272259. The reversal of 163272252 is 252272361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163272251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289723 + ... + 290285.

It is an arithmetic number, because the mean of its divisors is an integer number (4698120).

Almost surely, 2163272252 is an apocalyptic number.

163272252 is a gapful number since it is divisible by the number (12) 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 163272252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225509760).

163272252 is an abundant number, since it is smaller than the sum of its proper divisors (287747268).

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

163272252 is a wasteful number, since it uses less digits than its factorization.

163272252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 592 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 163272252 is about 12777.8030975595. The cubic root of 163272252 is about 546.5595171382.

The spelling of 163272252 in words is "one hundred sixty-three million, two hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 563 572 676 858 1014 1126 1689 1716 1859 2028 2197 2252 3378 3718 4394 5577 6193 6591 6756 7319 7436 8788 11154 12386 13182 14638 18579 21957 22308 24167 24772 26364 29276 37158 43914 48334 72501 74316 80509 87828 95147 96668 145002 161018 190294 241527 285441 290004 322036 380588 483054 570882 966108 1046617 1141764 1236911 2093234 2473822 3139851 3710733 4186468 4947644 6279702 7421466 12559404 13606021 14842932 27212042 40818063 54424084 81636126 163272252