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10202212220 = 2253170923209
BaseRepresentation
bin10011000000001100…
…10110011101111100
3222100000021002010212
421200012112131330
5131343231242340
64404204451552
7510551241644
oct114006263574
928300232125
1010202212220
114365979052
121b88849bb8
13c6786a685
146cad5d524
153eaa02a65
hex26019677c

10202212220 has 48 divisors (see below), whose sum is σ = 22147910400. Its totient is φ = 3943503360.

The previous prime is 10202212219. The next prime is 10202212249. The reversal of 10202212220 is 2221220201.

It is a junction number, because it is equal to n+sod(n) for n = 10202212195 and 10202212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427976 + ... + 451184.

It is an arithmetic number, because the mean of its divisors is an integer number (461414800).

Almost surely, 210202212220 is an apocalyptic number.

10202212220 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 10202212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073955200).

10202212220 is an abundant number, since it is smaller than the sum of its proper divisors (11945698180).

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

10202212220 is a wasteful number, since it uses less digits than its factorization.

10202212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23958 (or 23956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10202212220 its reverse (2221220201), we get a palindrome (12423432421).

The spelling of 10202212220 in words is "ten billion, two hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 709 1418 2836 3545 7090 14180 21979 23209 43958 46418 87916 92836 109895 116045 219790 232090 439580 464180 719479 1438958 2877916 3597395 7194790 14389580 16455181 32910362 65820724 82275905 164551810 329103620 510110611 1020221222 2040442444 2550553055 5101106110 10202212220