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2922251040 = 253351739791
BaseRepresentation
bin1010111000101110…
…0000001100100000
321112122201201211000
42232023200030200
521441044013130
61201545552000
7132262503222
oct25613401440
97478651730
102922251040
11126a597505
126967a5600
13377561937
141da168412
15121837260
hexae2e0320

2922251040 has 192 divisors, whose sum is σ = 10829790720. Its totient is φ = 733409280.

The previous prime is 2922251011. The next prime is 2922251069. The reversal of 2922251040 is 401522292.

It is a happy number.

2922251040 is a `hidden beast` number, since 2 + 92 + 22 + 510 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2922251011) and next prime (2922251069).

It is a super-2 number, since 2×29222510402 = 17079102281562163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2922250995 and 2922251013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53545 + ... + 93335.

It is an arithmetic number, because the mean of its divisors is an integer number (56405160).

Almost surely, 22922251040 is an apocalyptic number.

2922251040 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 2922251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414895360).

2922251040 is an abundant number, since it is smaller than the sum of its proper divisors (7907539680).

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

2922251040 is a wasteful number, since it uses less digits than its factorization.

2922251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39832 (or 39818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2922251040 is about 54057.8490138111. The cubic root of 2922251040 is about 1429.6810934085.

The spelling of 2922251040 in words is "two billion, nine hundred twenty-two million, two hundred fifty-one thousand, forty".