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230354061525 = 32527197697713
BaseRepresentation
bin1101011010001000101…
…1000000100011010101
3211000120202210202222100
43112202023000203111
512233231114432100
6253453450552313
722433250134130
oct3264213004325
9730522722870
10230354061525
1189768953965
1238789138699
1318950b60023
14b213573217
155ed31da400
hex35a22c08d5

230354061525 has 72 divisors (see below), whose sum is σ = 496348598720. Its totient is φ = 99762347520.

The previous prime is 230354061523. The next prime is 230354061547. The reversal of 230354061525 is 525160453032.

230354061525 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 540 + 61 + 52 + 5 = 666.

It is not a de Polignac number, because 230354061525 - 21 = 230354061523 is a prime.

It is a super-2 number, since 2×2303540615252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230354061525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230354061523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3818932 + ... + 3878781.

Almost surely, 2230354061525 is an apocalyptic number.

230354061525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230354061525 is an abundant number, since it is smaller than the sum of its proper divisors (265994537195).

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

230354061525 is a wasteful number, since it uses less digits than its factorization.

230354061525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697755 (or 7697747 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 230354061525 in words is "two hundred thirty billion, three hundred fifty-four million, sixty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 5985 9975 29925 7697713 23093139 38488565 53883991 69279417 115465695 146256547 161651973 192442825 269419955 346397085 438769641 484955919 577328475 731282735 808259865 1023795829 1316308923 1347099775 1731985425 2193848205 2424779595 3071387487 3656413675 4041299325 5118979145 6581544615 9214162461 10969241025 12123897975 15356937435 25594895725 32907723075 46070812305 76784687175 230354061525