Search a number
-
+
22997758049280 = 210345731421607
BaseRepresentation
bin1010011101010100101010…
…01100101111110000000000
310000102120020022002212220000
411032222111030233300000
511003243402030034110
6120525005120520000
74562350612015350
oct516522514576000
9100376208085800
1022997758049280
117367326960a83
1226b5152780000
13caa8aa4b4881
145971514b6b60
1529d3578731c0
hex14ea9532fc00

22997758049280 has 1760 divisors, whose sum is σ = 97613628997632. Its totient is φ = 5066617651200.

The previous prime is 22997758049269. The next prime is 22997758049291. The reversal of 22997758049280 is 8294085779922.

22997758049280 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 7 + 7 + 58 + 0 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22997758049269) and next prime (22997758049291).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22997758049199 and 22997758049208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37887574737 + ... + 37887575343.

Almost surely, 222997758049280 is an apocalyptic number.

22997758049280 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 22997758049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48806814498816).

22997758049280 is an abundant number, since it is smaller than the sum of its proper divisors (74615870948352).

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

22997758049280 is a wasteful number, since it uses less digits than its factorization.

22997758049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 22997758049280 in words is "twenty-two trillion, nine hundred ninety-seven billion, seven hundred fifty-eight million, forty-nine thousand, two hundred eighty".