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22901399040 = 29351317103131
BaseRepresentation
bin10101010101000001…
…111001111000000000
32012010001000121111110
4111111001321320000
5333400224232130
614304252243320
71440342452142
oct252501717000
965101017443
1022901399040
119792274073
124531770540
13220c8183c0
141173782c92
158e0834ab0
hex555079e00

22901399040 has 640 divisors, whose sum is σ = 84936563712. Its totient is φ = 5214044160.

The previous prime is 22901399039. The next prime is 22901399041. The reversal of 22901399040 is 4099310922.

It is an interprime number because it is at equal distance from previous prime (22901399039) and next prime (22901399041).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 22901399040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22901399041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174819775 + ... + 174819905.

Almost surely, 222901399040 is an apocalyptic number.

22901399040 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 22901399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42468281856).

22901399040 is an abundant number, since it is smaller than the sum of its proper divisors (62035164672).

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

22901399040 is a wasteful number, since it uses less digits than its factorization.

22901399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 22901399040 in words is "twenty-two billion, nine hundred one million, three hundred ninety-nine thousand, forty".