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230430544140 = 223597241716381
BaseRepresentation
bin1101011010011010111…
…0110001000100001100
3211000210002201111101210
43112212232301010030
512233410204403030
6253505222134420
722435166210406
oct3264656610414
9730702644353
10230430544140
11897a8042435
12387aa881410
131896395b404
14b21d7a1b76
155ed9c96bb0
hex35a6bb110c

230430544140 has 96 divisors (see below), whose sum is σ = 652166633664. Its totient is φ = 60785786880.

The previous prime is 230430544139. The next prime is 230430544187. The reversal of 230430544140 is 41445034032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230430544098 and 230430544107.

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, 14058750 + ... + 14075130.

It is an arithmetic number, because the mean of its divisors is an integer number (6793402434).

Almost surely, 2230430544140 is an apocalyptic number.

230430544140 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 230430544140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326083316832).

230430544140 is an abundant number, since it is smaller than the sum of its proper divisors (421736089524).

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

230430544140 is a wasteful number, since it uses less digits than its factorization.

230430544140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 230430544140 its reverse (41445034032), we get a palindrome (271875578172).

The spelling of 230430544140 in words is "two hundred thirty billion, four hundred thirty million, five hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2417 2910 4834 5820 7251 9668 12085 14502 16381 24170 29004 32762 36255 48340 49143 65524 72510 81905 98286 145020 163810 196572 234449 245715 327620 468898 491430 703347 937796 982860 1172245 1406694 1588957 2344490 2813388 3177914 3516735 4688980 4766871 6355828 7033470 7944785 9533742 14066940 15889570 19067484 23834355 31779140 39592877 47668710 79185754 95337420 118778631 158371508 197964385 237557262 395928770 475114524 593893155 791857540 1187786310 2375572620 3840509069 7681018138 11521527207 15362036276 19202545345 23043054414 38405090690 46086108828 57607636035 76810181380 115215272070 230430544140