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22426640400 = 2435218688867
BaseRepresentation
bin10100111000101110…
…110110000000010000
32010212221200101002010
4110320232312000100
5331412204443100
614145212422520
71422516204153
oct247056660020
963787611063
1022426640400
11956928795a
12441a777a40
132165360328
14112a6bbc9a
158b3d05750
hex538bb6010

22426640400 has 60 divisors (see below), whose sum is σ = 71840008592. Its totient is φ = 5980437120.

The previous prime is 22426640399. The next prime is 22426640417. The reversal of 22426640400 is 404662422.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9343234 + ... + 9345633.

Almost surely, 222426640400 is an apocalyptic number.

22426640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22426640400 is an abundant number, since it is smaller than the sum of its proper divisors (49413368192).

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

22426640400 is a wasteful number, since it uses less digits than its factorization.

22426640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18688888 (or 18688877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22426640400 in words is "twenty-two billion, four hundred twenty-six million, six hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 18688867 37377734 56066601 74755468 93444335 112133202 149510936 186888670 224266404 280333005 299021872 373777340 448532808 467221675 560666010 747554680 897065616 934443350 1121332020 1401665025 1495109360 1868886700 2242664040 2803330050 3737773400 4485328080 5606660100 7475546800 11213320200 22426640400