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22881407040 = 2633517155783
BaseRepresentation
bin10101010011110101…
…101001000001000000
32012001122101220122000
4111103311221001000
5333330120011130
614302255544000
71440010515342
oct252365510100
965048356560
1022881407040
119781a59858
124526b2b000
13220863880b
141170c5b292
158ddbd6260
hex553d69040

22881407040 has 224 divisors, whose sum is σ = 85469333760. Its totient is φ = 5742747648.

The previous prime is 22881407027. The next prime is 22881407053. The reversal of 22881407040 is 4070418822.

It is an interprime number because it is at equal distance from previous prime (22881407027) and next prime (22881407053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22881406986 and 22881407004.

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, 68989 + ... + 224771.

Almost surely, 222881407040 is an apocalyptic number.

22881407040 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 22881407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42734666880).

22881407040 is an abundant number, since it is smaller than the sum of its proper divisors (62587926720).

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

22881407040 is a wasteful number, since it uses less digits than its factorization.

22881407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155826 (or 155810 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22881407040 in words is "twenty-two billion, eight hundred eighty-one million, four hundred seven thousand, forty".