Search a number
-
+
223761075720 = 233571379259379
BaseRepresentation
bin1101000001100100110…
…0110000111000001000
3210101120021221101200220
43100121030300320020
512131230313410340
6250443332230040
722111002522150
oct3203114607010
9711507841626
10223761075720
1186995326066
123744916b320
131813cc831b0
14ab89ac5760
155c494bced0
hex3419330e08

223761075720 has 256 divisors, whose sum is σ = 836656128000. Its totient is φ = 46613339136.

The previous prime is 223761075719. The next prime is 223761075781. The reversal of 223761075720 is 27570167322.

It is a happy number.

223761075720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 732991 + ... + 992369.

It is an arithmetic number, because the mean of its divisors is an integer number (3268188000).

Almost surely, 2223761075720 is an apocalyptic number.

223761075720 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 223761075720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418328064000).

223761075720 is an abundant number, since it is smaller than the sum of its proper divisors (612895052280).

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

223761075720 is a wasteful number, since it uses less digits than its factorization.

223761075720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259492 (or 259488 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 223761075720 in words is "two hundred twenty-three billion, seven hundred sixty-one million, seventy-five thousand, seven hundred twenty".