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10222100220 = 22352367110557
BaseRepresentation
bin10011000010100100…
…01101111011111100
3222101101200111100110
421201102031323330
5131413324201340
64410155030020
7511212263313
oct114122157374
928341614313
1010222100220
114376122212
121b9343b310
13c6ba11b17
146cd85927a
153ec630680
hex26148defc

10222100220 has 96 divisors (see below), whose sum is σ = 30312350208. Its totient is φ = 2568436992.

The previous prime is 10222100191. The next prime is 10222100267. The reversal of 10222100220 is 2200122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10222100196 and 10222100205.

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, 37182 + ... + 147738.

It is an arithmetic number, because the mean of its divisors is an integer number (315753648).

Almost surely, 210222100220 is an apocalyptic number.

10222100220 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 10222100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156175104).

10222100220 is an abundant number, since it is smaller than the sum of its proper divisors (20090249988).

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

10222100220 is a wasteful number, since it uses less digits than its factorization.

10222100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110659 (or 110657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222100220 its reverse (2200122201), we get a palindrome (12422222421).

The spelling of 10222100220 in words is "ten billion, two hundred twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 67 69 92 115 134 138 201 230 268 276 335 345 402 460 670 690 804 1005 1340 1380 1541 2010 3082 4020 4623 6164 7705 9246 15410 18492 23115 30820 46230 92460 110557 221114 331671 442228 552785 663342 1105570 1326684 1658355 2211140 2542811 3316710 5085622 6633420 7407319 7628433 10171244 12714055 14814638 15256866 22221957 25428110 29629276 30513732 37036595 38142165 44443914 50856220 74073190 76284330 88887828 111109785 148146380 152568660 170368337 222219570 340736674 444439140 511105011 681473348 851841685 1022210022 1703683370 2044420044 2555525055 3407366740 5111050110 10222100220