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20235152 = 2471937257
BaseRepresentation
bin100110100110…
…0001110010000
31102002001102002
41031030032100
520140011102
62001413132
7333665420
oct115141620
942061362
1020235152
1110470a73
12693a1a8
134266482
14298a480
151b9a902
hex134c390

20235152 has 80 divisors (see below), whose sum is σ = 48627840. Its totient is φ = 7962624.

The previous prime is 20235143. The next prime is 20235161. The reversal of 20235152 is 25153202.

It is an interprime number because it is at equal distance from previous prime (20235143) and next prime (20235161).

It is a super-2 number, since 2×202351522 = 818922752926208, which contains 22 as substring.

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, 78608 + ... + 78864.

It is an arithmetic number, because the mean of its divisors is an integer number (607848).

Almost surely, 220235152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20235152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24313920).

20235152 is an abundant number, since it is smaller than the sum of its proper divisors (28392688).

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

20235152 is a wasteful number, since it uses less digits than its factorization.

20235152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 20235152 is about 4498.3499196928. The cubic root of 20235152 is about 272.5014538542.

Adding to 20235152 its reverse (25153202), we get a palindrome (45388354).

The spelling of 20235152 in words is "twenty million, two hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 74 76 112 133 148 152 257 259 266 296 304 514 518 532 592 703 1028 1036 1064 1406 1799 2056 2072 2128 2812 3598 4112 4144 4883 4921 5624 7196 9509 9766 9842 11248 14392 19018 19532 19684 28784 34181 38036 39064 39368 66563 68362 76072 78128 78736 133126 136724 152144 180671 266252 273448 361342 532504 546896 722684 1065008 1264697 1445368 2529394 2890736 5058788 10117576 20235152