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22292986140 = 223251929534241
BaseRepresentation
bin10100110000110000…
…111111100100011100
32010112122012000220100
4110300300333210130
5331124001024030
614124040021100
71416304153455
oct246060774434
963478160810
1022292986140
1194aa89a497
1243a1a61790
132143765479
141116a4a12c
158a7204360
hex530c3f91c

22292986140 has 288 divisors, whose sum is σ = 75042676800. Its totient is φ = 5333852160.

The previous prime is 22292986139. The next prime is 22292986153. The reversal of 22292986140 is 4168929222.

22292986140 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 29 + 8 + 614 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5254420 + ... + 5258660.

It is an arithmetic number, because the mean of its divisors is an integer number (260564850).

Almost surely, 222292986140 is an apocalyptic number.

22292986140 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 22292986140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37521338400).

22292986140 is an abundant number, since it is smaller than the sum of its proper divisors (52749690660).

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

22292986140 is a wasteful number, since it uses less digits than its factorization.

22292986140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22292986140 in words is "twenty-two billion, two hundred ninety-two million, nine hundred eighty-six thousand, one hundred forty".