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230157536310 = 232513967203429
BaseRepresentation
bin1101011001011001110…
…1010100110000110110
3211000002002000021001200
43112112131110300312
512232330312130220
6253422150433330
722425342531252
oct3262635246066
9730062007050
10230157536310
1189677a24629
1238733362846
131891c221510
14b1d5417262
155ec0d1a890
hex3596754c36

230157536310 has 96 divisors (see below), whose sum is σ = 645110706240. Its totient is φ = 56595297024.

The previous prime is 230157536309. The next prime is 230157536339. The reversal of 230157536310 is 13635751032.

230157536310 is a `hidden beast` number, since 2 + 3 + 0 + 15 + 7 + 5 + 3 + 631 + 0 = 666.

It is a super-2 number, since 2×2301575363102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029676 + ... + 1233104.

It is an arithmetic number, because the mean of its divisors is an integer number (6719903190).

Almost surely, 2230157536310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230157536310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322555353120).

230157536310 is an abundant number, since it is smaller than the sum of its proper divisors (414953169930).

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

230157536310 is a wasteful number, since it uses less digits than its factorization.

230157536310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204422 (or 204419 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 230157536310 in words is "two hundred thirty billion, one hundred fifty-seven million, five hundred thirty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 967 1170 1934 2901 4835 5802 8703 9670 12571 14505 17406 25142 29010 37713 43515 62855 75426 87030 113139 125710 188565 203429 226278 377130 406858 565695 610287 1017145 1131390 1220574 1830861 2034290 2644577 3051435 3661722 5289154 6102870 7933731 9154305 13222885 15867462 18308610 23801193 26445770 39668655 47602386 79337310 119005965 196715843 238011930 393431686 590147529 983579215 1180295058 1770442587 1967158430 2557305959 2950737645 3540885174 5114611918 5901475290 7671917877 8852212935 12786529795 15343835754 17704425870 23015753631 25573059590 38359589385 46031507262 76719178770 115078768155 230157536310