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230172040 = 235723103347
BaseRepresentation
bin11011011100000…
…10010110001000
3121001002221200101
431232002112020
5432411001130
634501215144
75463300340
oct1556022610
9531087611
10230172040
11108a2072a
12651014b4
13388bc697
14227d7d20
15153191ca
hexdb82588

230172040 has 128 divisors (see below), whose sum is σ = 625397760. Its totient is φ = 74536704.

The previous prime is 230172037. The next prime is 230172049. The reversal of 230172040 is 40271032.

It is a junction number, because it is equal to n+sod(n) for n = 230171999 and 230172017.

It is not an unprimeable number, because it can be changed into a prime (230172049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663147 + ... + 663493.

It is an arithmetic number, because the mean of its divisors is an integer number (4885920).

Almost surely, 2230172040 is an apocalyptic number.

230172040 is a gapful number since it is divisible by the number (20) 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 230172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312698880).

230172040 is an abundant number, since it is smaller than the sum of its proper divisors (395225720).

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

230172040 is a wasteful number, since it uses less digits than its factorization.

230172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 230172040 is about 15171.4218186695. The cubic root of 230172040 is about 612.8452941295.

The spelling of 230172040 in words is "two hundred thirty million, one hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 103 115 140 161 184 206 230 280 322 347 412 460 515 644 694 721 805 824 920 1030 1288 1388 1442 1610 1735 2060 2369 2429 2776 2884 3220 3470 3605 4120 4738 4858 5768 6440 6940 7210 7981 9476 9716 11845 12145 13880 14420 15962 16583 18952 19432 23690 24290 28840 31924 33166 35741 39905 47380 48580 55867 63848 66332 71482 79810 82915 94760 97160 111734 132664 142964 159620 165830 178705 223468 250187 279335 285928 319240 331660 357410 446936 500374 558670 663320 714820 822043 1000748 1117340 1250935 1429640 1644086 2001496 2234680 2501870 3288172 4110215 5003740 5754301 6576344 8220430 10007480 11508602 16440860 23017204 28771505 32881720 46034408 57543010 115086020 230172040