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22700226630642 = 231131374122332797
BaseRepresentation
bin1010010100101010011101…
…11100011101001111110010
32222101010020211020210011020
411022111032330131033302
510433410031004140032
6120140201250000310
74532015530464141
oct512251674351762
988333224223136
1022700226630642
117262126159470
122667557b76096
13c88811c347c2
145869a8167758
15295741c85b2c
hex14a54ef1d3f2

22700226630642 has 256 divisors, whose sum is σ = 54030717812736. Its totient is φ = 6290535168000.

The previous prime is 22700226630583. The next prime is 22700226630677. The reversal of 22700226630642 is 24603662200722.

It is a junction number, because it is equal to n+sod(n) for n = 22700226630594 and 22700226630603.

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, 692126988 + ... + 692159784.

It is an arithmetic number, because the mean of its divisors is an integer number (211057491456).

Almost surely, 222700226630642 is an apocalyptic number.

22700226630642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22700226630642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27015358906368).

22700226630642 is an abundant number, since it is smaller than the sum of its proper divisors (31330491182094).

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

22700226630642 is a wasteful number, since it uses less digits than its factorization.

22700226630642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33145.

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 22700226630642 in words is "twenty-two trillion, seven hundred billion, two hundred twenty-six million, six hundred thirty thousand, six hundred forty-two".