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230372190720 = 29345734179
BaseRepresentation
bin1101011010001101000…
…0001010101000000000
3211000122000220211120000
43112203100022220000
512233300240100340
6253455335320000
722433560212000
oct3264320125000
9730560824500
10230372190720
1189778106671
1238793220000
1318954839a69
14b215b32000
155ed4abbd30
hex35a340aa00

230372190720 has 1600 divisors, whose sum is σ = 998186112000. Its totient is φ = 50721914880.

The previous prime is 230372190703. The next prime is 230372190739. The reversal of 230372190720 is 27091273032.

230372190720 is a `hidden beast` number, since 2 + 30 + 372 + 190 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2916103641 + ... + 2916103719.

It is an arithmetic number, because the mean of its divisors is an integer number (623866320).

Almost surely, 2230372190720 is an apocalyptic number.

230372190720 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 230372190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499093056000).

230372190720 is an abundant number, since it is smaller than the sum of its proper divisors (767813921280).

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

230372190720 is an frugal number, since it uses more digits than its factorization.

230372190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 230372190720 in words is "two hundred thirty billion, three hundred seventy-two million, one hundred ninety thousand, seven hundred twenty".