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230920632 = 2334433823
BaseRepresentation
bin11011100001110…
…01000110111000
3121002111222120000
431300321012320
5433103430012
634525233000
75502535665
oct1560710670
9532458500
10230920632
111093920a8
1265402760
1338ac2337
1422950a6c
1515415ddc
hexdc391b8

230920632 has 80 divisors (see below), whose sum is σ = 649073040. Its totient is φ = 76702464.

The previous prime is 230920619. The next prime is 230920637. The reversal of 230920632 is 236029032.

230920632 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 20 + 632 = 666.

230920632 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 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 = 230920596 and 230920605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230920637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 280173 + ... + 280995.

It is an arithmetic number, because the mean of its divisors is an integer number (8113413).

Almost surely, 2230920632 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 230920632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324536520).

230920632 is an abundant number, since it is smaller than the sum of its proper divisors (418152408).

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

230920632 is a wasteful number, since it uses less digits than its factorization.

230920632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230920632 is about 15196.0729137498. The cubic root of 230920632 is about 613.5089638279.

Adding to 230920632 its reverse (236029032), we get a palindrome (466949664).

The spelling of 230920632 in words is "two hundred thirty million, nine hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 433 648 823 866 1299 1646 1732 2469 2598 3292 3464 3897 4938 5196 6584 7407 7794 9876 10392 11691 14814 15588 19752 22221 23382 29628 31176 35073 44442 46764 59256 66663 70146 88884 93528 133326 140292 177768 266652 280584 356359 533304 712718 1069077 1425436 2138154 2850872 3207231 4276308 6414462 8552616 9621693 12828924 19243386 25657848 28865079 38486772 57730158 76973544 115460316 230920632