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222842420809920 = 263351910360121929
BaseRepresentation
bin110010101010110010001011…
…010101010101000011000000
31002020000112020110022120121000
4302222302023111111003000
5213202022234211404140
62105540221142132000
764636555632515262
oct6252621325250300
91066015213276530
10222842420809920
1165005a3806a25a
1220bb042ba21000
139745c475297b2
143d058b897db32
151ab69994b3a30
hexcaac8b5550c0

222842420809920 has 896 divisors, whose sum is σ = 836976801024000. Its totient is φ = 55655158579200.

The previous prime is 222842420809861. The next prime is 222842420809937. The reversal of 222842420809920 is 29908024248222.

222842420809920 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 424 + 208 + 0 + 9 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10161985516 + ... + 10162007444.

It is an arithmetic number, because the mean of its divisors is an integer number (934125894000).

Almost surely, 2222842420809920 is an apocalyptic number.

222842420809920 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 222842420809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418488400512000).

222842420809920 is an abundant number, since it is smaller than the sum of its proper divisors (614134380214080).

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

222842420809920 is a wasteful number, since it uses less digits than its factorization.

222842420809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22678 (or 22662 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 222842420809920 in words is "two hundred twenty-two trillion, eight hundred forty-two billion, four hundred twenty million, eight hundred nine thousand, nine hundred twenty".