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152035224 = 233114712253
BaseRepresentation
bin10010000111111…
…01111110011000
3101121002012010020
421003331332120
5302410111344
623030350440
73524164245
oct1103757630
9347065106
10152035224
1178902350
1242abb420
1325662393
14162985cc
15d532719
hex90fdf98

152035224 has 64 divisors (see below), whose sum is σ = 423498240. Its totient is φ = 45087360.

The previous prime is 152035223. The next prime is 152035231. The reversal of 152035224 is 422530251.

It is a super-2 number, since 2×1520352242 = 46229418673460352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 152035194 and 152035203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152035223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6282 + ... + 18534.

It is an arithmetic number, because the mean of its divisors is an integer number (6617160).

Almost surely, 2152035224 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 152035224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211749120).

152035224 is an abundant number, since it is smaller than the sum of its proper divisors (271463016).

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

152035224 is a wasteful number, since it uses less digits than its factorization.

152035224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 152035224 is about 12330.2564450217. The cubic root of 152035224 is about 533.7215510252.

Adding to 152035224 its reverse (422530251), we get a palindrome (574565475).

The spelling of 152035224 in words is "one hundred fifty-two million, thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12253 12408 24506 36759 49012 73518 98024 134783 147036 269566 294072 404349 539132 575891 808698 1078264 1151782 1617396 1727673 2303564 3234792 3455346 4607128 6334801 6910692 12669602 13821384 19004403 25339204 38008806 50678408 76017612 152035224