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230936999149620 = 223258322971541497
BaseRepresentation
bin110100100000100100110101…
…110011001100000000110100
31010021200100202112112102221200
4310200210311303030000310
5220232132433240241440
62135054554240212500
766433435060251321
oct6440446563140064
91107610675472850
10230936999149620
11676469165609a5
1221a9917990a130
139bb235b61816a
1441055a61b9b48
151ba73046bac30
hexd20935ccc034

230936999149620 has 72 divisors (see below), whose sum is σ = 700510193512584. Its totient is φ = 61583085831168.

The previous prime is 230936999149613. The next prime is 230936999149691. The reversal of 230936999149620 is 26941999639032.

230936999149620 is a `hidden beast` number, since 2 + 30 + 9 + 369 + 99 + 149 + 6 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48350856296484 + 182586142853136 = 6953478^2 + 13512444^2 .

It is a super-2 number, since 2×2309369991496202 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149042712 + ... + 150584208.

Almost surely, 2230936999149620 is an apocalyptic number.

230936999149620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230936999149620 is an abundant number, since it is smaller than the sum of its proper divisors (469573194362964).

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

230936999149620 is a wasteful number, since it uses less digits than its factorization.

230936999149620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373809 (or 2373804 counting only the distinct ones).

The product of its (nonzero) digits is 306110016, while the sum is 72.

The spelling of 230936999149620 in words is "two hundred thirty trillion, nine hundred thirty-six billion, nine hundred ninety-nine million, one hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 832297 1541497 1664594 2496891 3082994 3329188 4161485 4624491 4993782 6165988 7490673 7707485 8322970 9248982 9987564 12484455 13873473 14981346 15414970 16645940 18497964 23122455 24968910 27746946 29962692 30829940 37453365 46244910 49937820 55493892 69367365 74906730 92489820 138734730 149813460 277469460 1282983328609 2565966657218 3848949985827 5131933314436 6414916643045 7697899971654 11546849957481 12829833286090 15395799943308 19244749929135 23093699914962 25659666572180 38489499858270 46187399829924 57734249787405 76978999716540 115468499574810 230936999149620