Search a number
-
+
232973733438 = 23373364316223
BaseRepresentation
bin1101100011111001010…
…0010000111000111110
3211021100100011220021000
43120332110100320332
512304112233432223
6255005431351130
722555210026435
oct3307624207076
9737310156230
10232973733438
118a892665176
123919a5224a6
1318c7a7ccc54
14b3c145611c
1560d81a4543
hex363e510e3e

232973733438 has 64 divisors (see below), whose sum is σ = 524987873280. Its totient is φ = 76568359104.

The previous prime is 232973733397. The next prime is 232973733469. The reversal of 232973733438 is 834337379232.

232973733438 is a `hidden beast` number, since 2 + 3 + 297 + 3 + 7 + 3 + 343 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14352595 + ... + 14368817.

It is an arithmetic number, because the mean of its divisors is an integer number (8202935520).

Almost surely, 2232973733438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232973733438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262493936640).

232973733438 is an abundant number, since it is smaller than the sum of its proper divisors (292014139842).

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

232973733438 is a wasteful number, since it uses less digits than its factorization.

232973733438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19950 (or 19944 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 232973733438 in words is "two hundred thirty-two billion, nine hundred seventy-three million, seven hundred thirty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3643 3942 7286 10929 16223 21858 32446 32787 48669 65574 97338 98361 146007 196722 265939 292014 438021 531878 797817 876042 1184279 1595634 2368558 2393451 3552837 4786902 7105674 7180353 10658511 14360706 21317022 31975533 59100389 63951066 118200778 177301167 354602334 531903501 1063807002 1595710503 3191421006 4314328397 8628656794 12942985191 25885970382 38828955573 77657911146 116486866719 232973733438