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1222132800 = 26352736373
BaseRepresentation
bin100100011011000…
…0100010001000000
310011011122210000210
41020312010101000
510000331222200
6321134314120
742166646250
oct11066042100
93134583023
101222132800
11577953509
122a1358940
13166273605
14b8451960
157245d650
hex48d84440

1222132800 has 168 divisors, whose sum is σ = 4582542016. Its totient is φ = 279336960.

The previous prime is 1222132783. The next prime is 1222132841. The reversal of 1222132800 is 82312221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 15414 + ... + 51786.

Almost surely, 21222132800 is an apocalyptic number.

1222132800 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 1222132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291271008).

1222132800 is an abundant number, since it is smaller than the sum of its proper divisors (3360409216).

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

1222132800 is a wasteful number, since it uses less digits than its factorization.

1222132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36405 (or 36390 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1222132800 is about 34959.0160044587. The cubic root of 1222132800 is about 1069.1520343765.

The spelling of 1222132800 in words is "one billion, two hundred twenty-two million, one hundred thirty-two thousand, eight hundred".