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152202024 = 23331367809
BaseRepresentation
bin10010001001001…
…10101100101000
3101121101122221000
421010212230220
5302430431044
623034115000
73525460452
oct1104465450
9347348830
10152202024
1178a066a7
1242b7ba60
13256c0290
14162dd2d2
15d566d69
hex9126b28

152202024 has 128 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 46075392.

The previous prime is 152202019. The next prime is 152202031. The reversal of 152202024 is 420202251.

It is a super-2 number, since 2×1522020242 = 46330912219393152, 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 = 152201988 and 152202006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187732 + ... + 188540.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2152202024 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 152202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

152202024 is an abundant number, since it is smaller than the sum of its proper divisors (310469976).

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

152202024 is a wasteful number, since it uses less digits than its factorization.

152202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152202024 is about 12337.0184404499. The cubic root of 152202024 is about 533.9166641825.

Adding to 152202024 its reverse (420202251), we get a palindrome (572404275).

The spelling of 152202024 in words is "one hundred fifty-two million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 104 108 117 134 156 201 216 234 268 312 351 402 468 536 603 702 804 809 871 936 1206 1404 1608 1618 1742 1809 2412 2427 2613 2808 3236 3484 3618 4824 4854 5226 6472 6968 7236 7281 7839 9708 10452 10517 14472 14562 15678 19416 20904 21034 21843 23517 29124 31356 31551 42068 43686 47034 54203 58248 62712 63102 84136 87372 94068 94653 108406 126204 162609 174744 188136 189306 216812 252408 283959 325218 378612 433624 487827 567918 650436 704639 757224 975654 1135836 1300872 1409278 1463481 1951308 2113917 2271672 2818556 2926962 3902616 4227834 5637112 5853924 6341751 8455668 11707848 12683502 16911336 19025253 25367004 38050506 50734008 76101012 152202024