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22400023104 = 2632233974259
BaseRepresentation
bin10100110111001001…
…010011101001000000
32010211002121002000100
4110313021103221000
5331333401214404
614142422122400
71422044024544
oct246711235100
963732532010
1022400023104
119555257998
124411880400
13215c9a0c54
141126d4da24
158b17e8d39
hex537253a40

22400023104 has 168 divisors, whose sum is σ = 67181699520. Its totient is φ = 7122373632.

The previous prime is 22400023103. The next prime is 22400023169. The reversal of 22400023104 is 40132000422.

It is a super-2 number, since 2×224000231042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22400023103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5257327 + ... + 5261585.

Almost surely, 222400023104 is an apocalyptic number.

22400023104 is a gapful number since it is divisible by the number (24) 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 22400023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33590849760).

22400023104 is an abundant number, since it is smaller than the sum of its proper divisors (44781676416).

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

22400023104 is a wasteful number, since it uses less digits than its factorization.

22400023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22400023104 its reverse (40132000422), we get a palindrome (62532023526).

The spelling of 22400023104 in words is "twenty-two billion, four hundred million, twenty-three thousand, one hundred four".