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22616166640 = 2451914879057
BaseRepresentation
bin10101000100000001…
…110101000011110000
32011101011022022012111
4111010001311003300
5332304214313030
614220102535104
71430310146614
oct250401650360
964334268174
1022616166640
119656266811
124472137494
1321956bb232
141147935344
158c579162a
hex5440750f0

22616166640 has 40 divisors (see below), whose sum is σ = 55350095760. Its totient is φ = 8570336256.

The previous prime is 22616166619. The next prime is 22616166667. The reversal of 22616166640 is 4666161622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×226161666402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22616166593 and 22616166602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7438009 + ... + 7441048.

It is an arithmetic number, because the mean of its divisors is an integer number (1383752394).

Almost surely, 222616166640 is an apocalyptic number.

22616166640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22616166640 is an abundant number, since it is smaller than the sum of its proper divisors (32733929120).

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

22616166640 is a wasteful number, since it uses less digits than its factorization.

22616166640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14879089 (or 14879083 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 22616166640 in words is "twenty-two billion, six hundred sixteen million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 14879057 29758114 59516228 74395285 119032456 148790570 238064912 282702083 297581140 565404166 595162280 1130808332 1190324560 1413510415 2261616664 2827020830 4523233328 5654041660 11308083320 22616166640