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230332131223020 = 2232519599954711777
BaseRepresentation
bin110100010111110001100000…
…110111001010010111101100
31010012112112111020211002112200
4310113301200313022113230
5220142230201043114040
62133513041553301500
766341642634563421
oct6427614067122754
91105475436732480
10230332131223020
1167433343369072
12219bbab0864890
139b6a2c42c2518
1440c41c5613d48
151b967022d4630
hexd17c60dca5ec

230332131223020 has 288 divisors, whose sum is σ = 736813965888000. Its totient is φ = 58081009139712.

The previous prime is 230332131222959. The next prime is 230332131223087. The reversal of 230332131223020 is 20322131233032.

230332131223020 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 321 + 31 + 2 + 2 + 302 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19557787372 + ... + 19557799148.

It is an arithmetic number, because the mean of its divisors is an integer number (2558381826000).

Almost surely, 2230332131223020 is an apocalyptic number.

230332131223020 is a gapful number since it is divisible by the number (20) 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 230332131223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368406982944000).

230332131223020 is an abundant number, since it is smaller than the sum of its proper divisors (506481834664980).

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

230332131223020 is a wasteful number, since it uses less digits than its factorization.

230332131223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21957 (or 21952 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230332131223020 its reverse (20322131233032), we get a palindrome (250654262456052).

The spelling of 230332131223020 in words is "two hundred thirty trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, twenty".