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22664660060 = 22573710694093
BaseRepresentation
bin10101000110111010…
…110100010001011100
32011111112120000200002
4111012322310101130
5332404123110220
614224554153432
71431436301060
oct250672642134
964445500602
1022664660060
119680678619
124486422878
1321a2769973
141150159aa0
158c9b6ec75
hex546eb445c

22664660060 has 96 divisors (see below), whose sum is σ = 55931245440. Its totient is φ = 7551802368.

The previous prime is 22664660021. The next prime is 22664660063. The reversal of 22664660060 is 6006646622.

It is a junction number, because it is equal to n+sod(n) for n = 22664659996 and 22664660023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664660063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5535374 + ... + 5539466.

It is an arithmetic number, because the mean of its divisors is an integer number (582617140).

Almost surely, 222664660060 is an apocalyptic number.

22664660060 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 22664660060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965622720).

22664660060 is an abundant number, since it is smaller than the sum of its proper divisors (33266585380).

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

22664660060 is a wasteful number, since it uses less digits than its factorization.

22664660060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 22664660060 in words is "twenty-two billion, six hundred sixty-four million, six hundred sixty thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1069 1295 2138 2590 4093 4276 5180 5345 7483 8186 10690 14966 16372 20465 21380 28651 29932 37415 39553 40930 57302 74830 79106 81860 114604 143255 149660 151441 158212 197765 276871 286510 302882 395530 553742 573020 605764 757205 791060 1060087 1107484 1384355 1514410 2120174 2768710 3028820 4240348 4375417 5300435 5537420 8750834 10600870 17501668 21201740 21877085 30627919 43754170 61255838 87508340 122511676 153139595 161890429 306279190 323780858 612558380 647561716 809452145 1133233003 1618904290 2266466006 3237808580 4532932012 5666165015 11332330030 22664660060