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230037501792 = 253729432231231
BaseRepresentation
bin1101011000111101001…
…1011011011101100000
3210222202201010212122210
43112033103123131200
512232104100024132
6253402222002120
722422354334350
oct3261723333540
9728681125583
10230037501792
118961619994a
12386bb116340
13189003b4987
14b1c34ccb60
155eb5509bcc
hex358f4db760

230037501792 has 384 divisors, whose sum is σ = 734383964160. Its totient is φ = 61654763520.

The previous prime is 230037501779. The next prime is 230037501829. The reversal of 230037501792 is 297105730032.

It is a super-2 number, since 2×2300375017922 (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 230037501792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186869817 + ... + 186871047.

It is an arithmetic number, because the mean of its divisors is an integer number (1912458240).

Almost surely, 2230037501792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230037501792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367191982080).

230037501792 is an abundant number, since it is smaller than the sum of its proper divisors (504346462368).

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

230037501792 is a wasteful number, since it uses less digits than its factorization.

230037501792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 230037501792 in words is "two hundred thirty billion, thirty-seven million, five hundred one thousand, seven hundred ninety-two".