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230515253244 = 22342985728627
BaseRepresentation
bin1101011010101111000…
…1111001111111111100
3211001000000010011110000
43112223301321333330
512234043401100434
6253521445514300
722440245215623
oct3265361717774
9731000104400
10230515253244
118984093a661
1238813112990
131897837a043
14b22ab326ba
155ee242ab99
hex35abc79ffc

230515253244 has 120 divisors (see below), whose sum is σ = 624141357840. Its totient is φ = 74099660544.

The previous prime is 230515253239. The next prime is 230515253261. The reversal of 230515253244 is 442352515032.

230515253244 is a `hidden beast` number, since 2 + 30 + 5 + 1 + 52 + 532 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230515253199 and 230515253208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8038059 + ... + 8066685.

It is an arithmetic number, because the mean of its divisors is an integer number (5201177982).

Almost surely, 2230515253244 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 230515253244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312070678920).

230515253244 is an abundant number, since it is smaller than the sum of its proper divisors (393626104596).

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

230515253244 is a wasteful number, since it uses less digits than its factorization.

230515253244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29529 (or 29518 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 230515253244 its reverse (442352515032), we get a palindrome (672867768276).

The spelling of 230515253244 in words is "two hundred thirty billion, five hundred fifteen million, two hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 857 1044 1566 1714 2349 2571 3132 3428 4698 5142 7713 9396 10284 15426 23139 24853 28627 30852 46278 49706 57254 69417 74559 85881 92556 99412 114508 138834 149118 171762 223677 257643 277668 298236 343524 447354 515286 671031 772929 830183 894708 1030572 1342062 1545858 1660366 2013093 2318787 2490549 2684124 3091716 3320732 4026186 4637574 4981098 7471647 8052372 9275148 9962196 14943294 22414941 24533339 29886588 44829882 49066678 67244823 73600017 89659764 98133356 134489646 147200034 220800051 268979292 294400068 441600102 662400153 711466831 883200204 1324800306 1422933662 1987200459 2134400493 2649600612 2845867324 3974400918 4268800986 6403201479 7948801836 8537601972 12806402958 19209604437 25612805916 38419208874 57628813311 76838417748 115257626622 230515253244