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232199136 = 2535132297
BaseRepresentation
bin11011101011100…
…01001111100000
3121011220221100000
431311301033200
5433420333021
635012500000
75516442261
oct1565611740
9534827300
10232199136
1110a085714
126591a600
133914c250
1422ba4968
15155b9b26
hexdd713e0

232199136 has 144 divisors (see below), whose sum is σ = 737768304. Its totient is φ = 71414784.

The previous prime is 232199119. The next prime is 232199137. The reversal of 232199136 is 631991232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232199136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232199137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99940 + ... + 102236.

It is an arithmetic number, because the mean of its divisors is an integer number (5123391).

Almost surely, 2232199136 is an apocalyptic number.

232199136 is a gapful number since it is divisible by the number (26) 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 232199136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368884152).

232199136 is an abundant number, since it is smaller than the sum of its proper divisors (505569168).

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

232199136 is a wasteful number, since it uses less digits than its factorization.

232199136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2315 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 232199136 is about 15238.0817690417. The cubic root of 232199136 is about 614.6391220105.

The spelling of 232199136 in words is "two hundred thirty-two million, one hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2297 2592 2808 3159 3744 3888 4212 4594 5616 6318 6891 7776 8424 9188 11232 12636 13782 16848 18376 20673 25272 27564 29861 33696 36752 41346 50544 55128 59722 62019 73504 82692 89583 101088 110256 119444 124038 165384 179166 186057 220512 238888 248076 268749 330768 358332 372114 477776 496152 537498 558171 661536 716664 744228 806247 955552 992304 1074996 1116342 1433328 1488456 1612494 1984608 2149992 2232684 2418741 2866656 2976912 3224988 4299984 4465368 4837482 5953824 6449976 7256223 8599968 8930736 9674964 12899952 14512446 17861472 19349928 25799904 29024892 38699856 58049784 77399712 116099568 232199136