Search a number
-
+
229063097702880 = 25335725144967213
BaseRepresentation
bin110100000101010011101000…
…100100011101100111100000
31010001001012220010100210211000
4310011103220210131213200
5220010432211002443010
62131102045004552000
766151156045622310
oct6405235044354740
91101035803323730
10229063097702880
1166a94128a995a1
1221835b67b52600
139aa773289205c
14407c9da9b7440
151b736cbc977c0
hexd054e891d9e0

229063097702880 has 768 divisors, whose sum is σ = 921965296896000. Its totient is φ = 52031766528000.

The previous prime is 229063097702867. The next prime is 229063097702953. The reversal of 229063097702880 is 88207790360922.

229063097702880 is a `hidden beast` number, since 2 + 290 + 63 + 0 + 9 + 7 + 7 + 0 + 288 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 3407984154 + ... + 3408051366.

It is an arithmetic number, because the mean of its divisors is an integer number (1200475647000).

Almost surely, 2229063097702880 is an apocalyptic number.

229063097702880 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 229063097702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460982648448000).

229063097702880 is an abundant number, since it is smaller than the sum of its proper divisors (692902199193120).

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

229063097702880 is a wasteful number, since it uses less digits than its factorization.

229063097702880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67944 (or 67930 counting only the distinct ones).

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

The spelling of 229063097702880 in words is "two hundred twenty-nine trillion, sixty-three billion, ninety-seven million, seven hundred two thousand, eight hundred eighty".