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22431404000 = 255311349627
BaseRepresentation
bin10100111001000001…
…000000111111100000
32010220021122101111202
4110321001000333200
5331414414412000
614145502500332
71422604534205
oct247101007740
963807571452
1022431404000
119570a40915
1244202946a8
13216633a625
14112b19bcac
158b4446dd5
hex539040fe0

22431404000 has 96 divisors (see below), whose sum is σ = 55602814176. Its totient is φ = 8892979200.

The previous prime is 22431403999. The next prime is 22431404003. The reversal of 22431404000 is 40413422.

It is a super-2 number, since 2×224314040002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431404003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427187 + ... + 476813.

It is an arithmetic number, because the mean of its divisors is an integer number (579195981).

Almost surely, 222431404000 is an apocalyptic number.

22431404000 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 22431404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801407088).

22431404000 is an abundant number, since it is smaller than the sum of its proper divisors (33171410176).

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

22431404000 is a wasteful number, since it uses less digits than its factorization.

22431404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49765 (or 49747 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22431404000 its reverse (40413422), we get a palindrome (22471817422).

The spelling of 22431404000 in words is "twenty-two billion, four hundred thirty-one million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 800 904 1000 1130 1808 2000 2260 2825 3616 4000 4520 5650 9040 11300 14125 18080 22600 28250 45200 49627 56500 90400 99254 113000 198508 226000 248135 397016 452000 496270 794032 992540 1240675 1588064 1985080 2481350 3970160 4962700 5607851 6203375 7940320 9925400 11215702 12406750 19850800 22431404 24813500 28039255 39701600 44862808 49627000 56078510 89725616 99254000 112157020 140196275 179451232 198508000 224314040 280392550 448628080 560785100 700981375 897256160 1121570200 1401962750 2243140400 2803925500 4486280800 5607851000 11215702000 22431404000