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202220210112 = 26343157156011
BaseRepresentation
bin1011110001010101000…
…0111000011111000000
3201022222002000001012120
42330111100320133000
511303121333210422
6232522040524240
720416130265534
oct2742520703700
9638862001176
10202220210112
1178841044998
1233237180680
13160b92a877b
149b04cddbc4
1553d833445c
hex2f154387c0

202220210112 has 112 divisors (see below), whose sum is σ = 550974475392. Its totient is φ = 65419361280.

The previous prime is 202220210111. The next prime is 202220210147. The reversal of 202220210112 is 211012022202.

202220210112 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202220210091 and 202220210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202220210111) 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 15 ways as a sum of consecutive naturals, for example, 1218187 + ... + 1374197.

Almost surely, 2202220210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202220210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275487237696).

202220210112 is an abundant number, since it is smaller than the sum of its proper divisors (348754265280).

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

202220210112 is a wasteful number, since it uses less digits than its factorization.

202220210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156226 (or 156216 counting only the distinct ones).

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

Adding to 202220210112 its reverse (211012022202), we get a palindrome (413232232314).

The spelling of 202220210112 in words is "two hundred two billion, two hundred twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 157 172 192 258 314 344 471 516 628 688 942 1032 1256 1376 1884 2064 2512 2752 3768 4128 5024 6751 7536 8256 10048 13502 15072 20253 27004 30144 40506 54008 81012 108016 156011 162024 216032 312022 324048 432064 468033 624044 648096 936066 1248088 1296192 1872132 2496176 3744264 4992352 6708473 7488528 9984704 13416946 14977056 20125419 24493727 26833892 29954112 40250838 48987454 53667784 73481181 80501676 97974908 107335568 146962362 161003352 195949816 214671136 293924724 322006704 391899632 429342272 587849448 644013408 783799264 1053230261 1175698896 1288026816 1567598528 2106460522 2351397792 3159690783 4212921044 4702795584 6319381566 8425842088 12638763132 16851684176 25277526264 33703368352 50555052528 67406736704 101110105056 202220210112