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19228285440 = 293457131019
BaseRepresentation
bin10001111010000110…
…000101101000000000
31211122001102002220000
4101322012011220000
5303334420113230
612500000520000
71250331505140
oct217206055000
954561362800
1019228285440
1181779584a1
123887620000
131a758494c0
14d05a00920
1577812eb60
hex47a185a00

19228285440 has 800 divisors, whose sum is σ = 84845819520. Its totient is φ = 4052975616.

The previous prime is 19228285409. The next prime is 19228285477. The reversal of 19228285440 is 4458282291.

19228285440 is a `hidden beast` number, since 1 + 9 + 22 + 82 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869251 + ... + 18870269.

Almost surely, 219228285440 is an apocalyptic number.

19228285440 is a gapful number since it is divisible by the number (10) 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 19228285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42422909760).

19228285440 is an abundant number, since it is smaller than the sum of its proper divisors (65617534080).

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

19228285440 is a wasteful number, since it uses less digits than its factorization.

19228285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 19228285440 in words is "nineteen billion, two hundred twenty-eight million, two hundred eighty-five thousand, four hundred forty".