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221240013220 = 22531541659591
BaseRepresentation
bin1100111000001011101…
…1101011000110100100
3210011001121010011002201
43032002323223012210
512111044420410340
6245345233144244
721661351040542
oct3160273530644
9704047104081
10221240013220
1185911246536
1236a649bb084
1317b2a88ab35
14a9cad50d92
155b4ced179a
hex3382eeb1a4

221240013220 has 48 divisors (see below), whose sum is σ = 480478473216. Its totient is φ = 85482864000.

The previous prime is 221240013187. The next prime is 221240013221. The reversal of 221240013220 is 22310042122.

221240013220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221240013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5625 + ... + 665215.

It is an arithmetic number, because the mean of its divisors is an integer number (10009968192).

Almost surely, 2221240013220 is an apocalyptic number.

221240013220 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 221240013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240239236608).

221240013220 is an abundant number, since it is smaller than the sum of its proper divisors (259238459996).

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

221240013220 is a wasteful number, since it uses less digits than its factorization.

221240013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660172 (or 660170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 221240013220 its reverse (22310042122), we get a palindrome (243550055342).

The spelling of 221240013220 in words is "two hundred twenty-one billion, two hundred forty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 541 620 1082 2164 2705 5410 10820 16771 33542 67084 83855 167710 335420 659591 1319182 2638364 3297955 6595910 13191820 20447321 40894642 81789284 102236605 204473210 356838731 408946420 713677462 1427354924 1784193655 3568387310 7136774620 11062000661 22124001322 44248002644 55310003305 110620006610 221240013220