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230221296797184 = 2934711239301649
BaseRepresentation
bin110100010110001010010010…
…100111011000011000000000
31010012010221102000021220010000
4310112022102213120120000
5220133421203440002214
62133350111555040000
766330640231525530
oct6426122247303000
91105127360256100
10230221296797184
11673a0338204530
12219a251a5a0000
139b5ca0cc7b124
1440bcaad6a34c0
151b938b6d14809
hexd162929d8600

230221296797184 has 800 divisors, whose sum is σ = 860293830528000. Its totient is φ = 59547342274560.

The previous prime is 230221296797083. The next prime is 230221296797213. The reversal of 230221296797184 is 481797692122032.

230221296797184 is a `hidden beast` number, since 2 + 30 + 221 + 296 + 7 + 97 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763058392 + ... + 763360040.

It is an arithmetic number, because the mean of its divisors is an integer number (1075367288160).

Almost surely, 2230221296797184 is an apocalyptic number.

230221296797184 is a gapful number since it is divisible by the number (24) 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 230221296797184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430146915264000).

230221296797184 is an abundant number, since it is smaller than the sum of its proper divisors (630072533730816).

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

230221296797184 is a wasteful number, since it uses less digits than its factorization.

230221296797184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301936 (or 301911 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 230221296797184 in words is "two hundred thirty trillion, two hundred twenty-one billion, two hundred ninety-six million, seven hundred ninety-seven thousand, one hundred eighty-four".