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152300232 = 233274881
BaseRepresentation
bin10010001001111…
…10101011001000
3101121120122122100
421010332223020
5302442101412
623040153400
73526350000
oct1104765310
9347518570
10152300232
1178a73467
1243008860
1325725ba6
1416327000
15d585edc
hex913eac8

152300232 has 120 divisors (see below), whose sum is σ = 481743990. Its totient is φ = 43464960.

The previous prime is 152300231. The next prime is 152300233. The reversal of 152300232 is 232003251.

It is an interprime number because it is at equal distance from previous prime (152300231) and next prime (152300233).

It can be written as a sum of positive squares in only one way, i.e., 145298916 + 7001316 = 12054^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152300231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 172432 + ... + 173312.

Almost surely, 2152300232 is an apocalyptic number.

152300232 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 152300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240871995).

152300232 is an abundant number, since it is smaller than the sum of its proper divisors (329443758).

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

152300232 is an equidigital number, since it uses as much as digits as its factorization.

152300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 152300232 is about 12340.9980147474. The cubic root of 152300232 is about 534.0314756517.

Adding to 152300232 its reverse (232003251), we get a palindrome (384303483).

The spelling of 152300232 in words is "one hundred fifty-two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 881 882 1029 1176 1372 1762 1764 2058 2401 2643 2744 3087 3524 3528 4116 4802 5286 6167 6174 7048 7203 7929 8232 9604 10572 12334 12348 14406 15858 18501 19208 21144 21609 24668 24696 28812 31716 37002 43169 43218 49336 55503 57624 63432 74004 86338 86436 111006 129507 148008 172676 172872 222012 259014 302183 345352 388521 444024 518028 604366 777042 906549 1036056 1208732 1554084 1813098 2115281 2417464 2719647 3108168 3626196 4230562 5439294 6345843 7252392 8461124 10878588 12691686 16922248 19037529 21757176 25383372 38075058 50766744 76150116 152300232