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1222133760 = 21132589149
BaseRepresentation
bin100100011011000…
…0100100000000000
310011011122211100100
41020312010200000
510000331240020
6321134322400
742166652121
oct11066044000
93134584310
101222133760
11577954201
122a1359400
13166273b93
14b8452048
157245da90
hex48d84800

1222133760 has 288 divisors, whose sum is σ = 4312035000. Its totient is φ = 320077824.

The previous prime is 1222133743. The next prime is 1222133771. The reversal of 1222133760 is 673312221.

It can be written as a sum of positive squares in 4 ways, for example, as 535274496 + 686859264 = 23136^2 + 26208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12221337602 = 2987221854663475200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8202166 + ... + 8202314.

Almost surely, 21222133760 is an apocalyptic number.

1222133760 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 1222133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156017500).

1222133760 is an abundant number, since it is smaller than the sum of its proper divisors (3089901240).

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

1222133760 is a wasteful number, since it uses less digits than its factorization.

1222133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1222133760 is about 34959.0297348196. The cubic root of 1222133760 is about 1069.1523143204.

Adding to 1222133760 its reverse (673312221), we get a palindrome (1895445981).

The spelling of 1222133760 in words is "one billion, two hundred twenty-two million, one hundred thirty-three thousand, seven hundred sixty".