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232078356 = 223217372277
BaseRepresentation
bin11011101010100…
…11110000010100
3121011200210122200
431311103300110
5433403001411
635010124500
75515430166
oct1565236024
9534623580
10232078356
1110a0029a4
1265880730
1339109293
1422b72936
1515593e56
hexdd53c14

232078356 has 108 divisors (see below), whose sum is σ = 640697148. Its totient is φ = 70585344.

The previous prime is 232078351. The next prime is 232078367. The reversal of 232078356 is 653870232.

232078356 is a `hidden beast` number, since 232 + 0 + 78 + 356 = 666.

232078356 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39312900 + 192765456 = 6270^2 + 13884^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 232078356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232078351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 837690 + ... + 837966.

It is an arithmetic number, because the mean of its divisors is an integer number (5932381).

Almost surely, 2232078356 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 232078356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320348574).

232078356 is an abundant number, since it is smaller than the sum of its proper divisors (408618792).

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

232078356 is a wasteful number, since it uses less digits than its factorization.

232078356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 232078356 is about 15234.1181562964. The cubic root of 232078356 is about 614.5325339189.

The spelling of 232078356 in words is "two hundred thirty-two million, seventy-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 277 306 333 444 554 612 629 666 831 1108 1258 1332 1369 1662 1887 2493 2516 2738 3324 3774 4107 4709 4986 5476 5661 7548 8214 9418 9972 10249 11322 12321 14127 16428 18836 20498 22644 23273 24642 28254 30747 40996 42381 46546 49284 56508 61494 69819 84762 92241 93092 122988 139638 169524 174233 184482 209457 279276 348466 368964 379213 418914 522699 696932 758426 837828 1045398 1137639 1516852 1568097 2090796 2275278 3136194 3412917 4550556 6272388 6446621 6825834 12893242 13651668 19339863 25786484 38679726 58019589 77359452 116039178 232078356