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197230032 = 24331924029
BaseRepresentation
bin10111100000101…
…11110111010000
3111202010022202000
423300113313100
5400442330112
631323154000
74613266446
oct1360276720
9452108660
10197230032
11a137092a
1256075900
1331b2757c
141c2a0b96
15124ad7dc
hexbc17dd0

197230032 has 80 divisors (see below), whose sum is σ = 595944000. Its totient is φ = 62280576.

The previous prime is 197229983. The next prime is 197230043. The reversal of 197230032 is 230032791.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 197229978 and 197230005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3807 + ... + 20222.

It is an arithmetic number, because the mean of its divisors is an integer number (7449300).

Almost surely, 2197230032 is an apocalyptic number.

197230032 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 197230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297972000).

197230032 is an abundant number, since it is smaller than the sum of its proper divisors (398713968).

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

197230032 is a wasteful number, since it uses less digits than its factorization.

197230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24065 (or 24053 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 197230032 is about 14043.8610075720. The cubic root of 197230032 is about 582.0911750028.

The spelling of 197230032 in words is "one hundred ninety-seven million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 24029 48058 72087 96116 144174 192232 216261 288348 384464 432522 456551 576696 648783 865044 913102 1153392 1297566 1369653 1730088 1826204 2595132 2739306 3460176 3652408 4108959 5190264 5478612 7304816 8217918 10380528 10957224 12326877 16435836 21914448 24653754 32871672 49307508 65743344 98615016 197230032