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10222112220 = 22354314926591
BaseRepresentation
bin10011000010100100…
…10000110111011100
3222101101201002210220
421201102100313130
5131413330042340
64410155201340
7511212343305
oct114122206734
928341632726
1010222112220
114376130231
121b93446250
13c6ba17418
146cd85d7ac
153ec633ed0
hex261490ddc

10222112220 has 96 divisors (see below), whose sum is σ = 29485209600. Its totient is φ = 2644535040.

The previous prime is 10222112209. The next prime is 10222112231. The reversal of 10222112220 is 2221122201.

It is an interprime number because it is at equal distance from previous prime (10222112209) and next prime (10222112231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371125 + ... + 397715.

It is an arithmetic number, because the mean of its divisors is an integer number (307137600).

Almost surely, 210222112220 is an apocalyptic number.

10222112220 is a gapful number since it is divisible by the number (10) 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 10222112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742604800).

10222112220 is an abundant number, since it is smaller than the sum of its proper divisors (19263097380).

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

10222112220 is a wasteful number, since it uses less digits than its factorization.

10222112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26795 (or 26793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222112220 its reverse (2221122201), we get a palindrome (12443234421).

The spelling of 10222112220 in words is "ten billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 149 172 215 258 298 430 447 516 596 645 745 860 894 1290 1490 1788 2235 2580 2980 4470 6407 8940 12814 19221 25628 26591 32035 38442 53182 64070 76884 79773 96105 106364 128140 132955 159546 192210 265910 319092 384420 398865 531820 797730 1143413 1595460 2286826 3430239 3962059 4573652 5717065 6860478 7924118 11434130 11886177 13720956 15848236 17151195 19810295 22868260 23772354 34302390 39620590 47544708 59430885 68604780 79241180 118861770 170368537 237723540 340737074 511105611 681474148 851842685 1022211222 1703685370 2044422444 2555528055 3407370740 5111056110 10222112220