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222013414100 = 22527297304253
BaseRepresentation
bin1100111011000100000…
…1111101101011010100
3210020001111101222122202
43032301001331223110
512114140413222400
6245554101544032
722016461611602
oct3166101755324
9706044358582
10222013414100
118617886a015
123703ba15018
1317c21b899aa
14aa61954872
155b95d524d5
hex33b107dad4

222013414100 has 36 divisors (see below), whose sum is σ = 481836715164. Its totient is φ = 88792903680.

The previous prime is 222013414061. The next prime is 222013414111. The reversal of 222013414100 is 1414310222.

It can be written as a sum of positive squares in 6 ways, for example, as 1832867344 + 220180546756 = 42812^2 + 469234^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577574 + ... + 881826.

It is an arithmetic number, because the mean of its divisors is an integer number (13384353199).

Almost surely, 2222013414100 is an apocalyptic number.

222013414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222013414100 is an abundant number, since it is smaller than the sum of its proper divisors (259823301064).

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

222013414100 is a wasteful number, since it uses less digits than its factorization.

222013414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311564 (or 311557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 222013414100 its reverse (1414310222), we get a palindrome (223427724322).

The spelling of 222013414100 in words is "two hundred twenty-two billion, thirteen million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7297 14594 29188 36485 72970 145940 182425 304253 364850 608506 729700 1217012 1521265 3042530 6085060 7606325 15212650 30425300 2220134141 4440268282 8880536564 11100670705 22201341410 44402682820 55503353525 111006707050 222013414100