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152872224 = 25329431277
BaseRepresentation
bin10010001110010…
…10010100100000
3101122122201021020
421013022110200
5303113402344
623100325440
73534251421
oct1107122440
9348581236
10152872224
117932418a
1243243880
132589634b
1416435648
15d64a719
hex91ca520

152872224 has 96 divisors (see below), whose sum is σ = 425113920. Its totient is φ = 48018432.

The previous prime is 152872219. The next prime is 152872229. The reversal of 152872224 is 422278251.

It is an interprime number because it is at equal distance from previous prime (152872219) and next prime (152872229).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (152872229) 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, 119074 + ... + 120350.

It is an arithmetic number, because the mean of its divisors is an integer number (4428270).

Almost surely, 2152872224 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 152872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212556960).

152872224 is an abundant number, since it is smaller than the sum of its proper divisors (272241696).

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

152872224 is a wasteful number, since it uses less digits than its factorization.

152872224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 152872224 is about 12364.1507593526. The cubic root of 152872224 is about 534.6991921253.

The spelling of 152872224 in words is "one hundred fifty-two million, eight hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 928 1032 1247 1277 1376 1392 2064 2494 2554 2784 3741 3831 4128 4988 5108 7482 7662 9976 10216 14964 15324 19952 20432 29928 30648 37033 39904 40864 54911 59856 61296 74066 109822 111099 119712 122592 148132 164733 219644 222198 296264 329466 439288 444396 592528 658932 878576 888792 1185056 1317864 1592419 1757152 1777584 2635728 3184838 3555168 4777257 5271456 6369676 9554514 12739352 19109028 25478704 38218056 50957408 76436112 152872224