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152201088 = 27321310163
BaseRepresentation
bin10010001001001…
…10011110000000
3101121101121122100
421010212132000
5302430413323
623034110400
73525454644
oct1104463600
9347347570
10152201088
1178a05a26
1242b7b400
13256bca20
14162dcc24
15d566943
hex9126780

152201088 has 96 divisors (see below), whose sum is σ = 471711240. Its totient is φ = 46826496.

The previous prime is 152201081. The next prime is 152201089. The reversal of 152201088 is 880102251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152201081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9895 + ... + 20057.

Almost surely, 2152201088 is an apocalyptic number.

152201088 is a gapful number since it is divisible by the number (18) 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 152201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235855620).

152201088 is an abundant number, since it is smaller than the sum of its proper divisors (319510152).

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

152201088 is a wasteful number, since it uses less digits than its factorization.

152201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 152201088 is about 12336.9805057802. The cubic root of 152201088 is about 533.9155697008.

The spelling of 152201088 in words is "one hundred fifty-two million, two hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 10163 14976 20326 30489 40652 60978 81304 91467 121956 132119 162608 182934 243912 264238 325216 365868 396357 487824 528476 650432 731736 792714 975648 1056952 1189071 1300864 1463472 1585428 1951296 2113904 2378142 2926944 3170856 3902592 4227808 4756284 5853888 6341712 8455616 9512568 11707776 12683424 16911232 19025136 25366848 38050272 50733696 76100544 152201088