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152210232 = 23331016977
BaseRepresentation
bin10010001001010…
…00101100111000
3101121102002012000
421010220230320
5302431211412
623034221000
73525523416
oct1104505470
9347362160
10152210232
1178a11889
1242b84760
13256c3c35
14163022b6
15d5694dc
hex9128b38

152210232 has 64 divisors (see below), whose sum is σ = 427053600. Its totient is φ = 50227200.

The previous prime is 152210221. The next prime is 152210269. The reversal of 152210232 is 232012251.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18328 + ... + 25304.

Almost surely, 2152210232 is an apocalyptic number.

152210232 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 152210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213526800).

152210232 is an abundant number, since it is smaller than the sum of its proper divisors (274843368).

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

152210232 is a wasteful number, since it uses less digits than its factorization.

152210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7093 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152210232 is about 12337.3510933263. The cubic root of 152210232 is about 533.9262617536.

Adding to 152210232 its reverse (232012251), we get a palindrome (384222483).

The spelling of 152210232 in words is "one hundred fifty-two million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 6977 7272 10908 13954 20931 21816 27908 41862 55816 62793 83724 125586 167448 188379 251172 376758 502344 704677 753516 1409354 1507032 2114031 2818708 4228062 5637416 6342093 8456124 12684186 16912248 19026279 25368372 38052558 50736744 76105116 152210232