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1222131456 = 28337132967
BaseRepresentation
bin100100011011000…
…0011111100000000
310011011122201012000
41020312003330000
510000331201311
6321134304000
742166642320
oct11066037400
93134581160
101222131456
115779524a7
122a1358000
13166272b10
14b8451280
157245d056
hex48d83f00

1222131456 has 576 divisors, whose sum is σ = 4670131200. Its totient is φ = 306561024.

The previous prime is 1222131451. The next prime is 1222131481. The reversal of 1222131456 is 6541312221.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×12221314563 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222131451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18240735 + ... + 18240801.

Almost surely, 21222131456 is an apocalyptic number.

1222131456 is a gapful number since it is divisible by the number (16) 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 1222131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335065600).

1222131456 is an abundant number, since it is smaller than the sum of its proper divisors (3447999744).

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

1222131456 is a wasteful number, since it uses less digits than its factorization.

1222131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1222131456 is about 34958.9967819444. The cubic root of 1222131456 is about 1069.1516424549.

Adding to 1222131456 its reverse (6541312221), we get a palindrome (7763443677).

The spelling of 1222131456 in words is "one billion, two hundred twenty-two million, one hundred thirty-one thousand, four hundred fifty-six".