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153215972 = 227132318301
BaseRepresentation
bin10010010000111…
…10001111100100
3101200022011210122
421020132033210
5303210402342
623111541112
73540212540
oct1110361744
9350264718
10153215972
1179539478
124338a798
1325986950
14164c4a20
15d6b74d2
hex921e3e4

153215972 has 48 divisors (see below), whose sum is σ = 344370432. Its totient is φ = 57974400.

The previous prime is 153215971. The next prime is 153215983. The reversal of 153215972 is 279512351.

153215972 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

153215972 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (153215971) 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 15 ways as a sum of consecutive naturals, for example, 779 + ... + 17522.

It is an arithmetic number, because the mean of its divisors is an integer number (7174384).

Almost surely, 2153215972 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 153215972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172185216).

153215972 is an abundant number, since it is smaller than the sum of its proper divisors (191154460).

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

153215972 is a wasteful number, since it uses less digits than its factorization.

153215972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18348 (or 18346 counting only the distinct ones).

The product of its digits is 18900, while the sum is 35.

The square root of 153215972 is about 12378.0439488636. The cubic root of 153215972 is about 535.0996664115.

The spelling of 153215972 in words is "one hundred fifty-three million, two hundred fifteen thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 18301 36602 73204 128107 237913 256214 420923 475826 512428 841846 951652 1665391 1683692 2946461 3330782 5471999 5892922 6661564 10943998 11785844 21887996 38303993 76607986 153215972