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11222400132 = 2232311733337
BaseRepresentation
bin10100111001110100…
…00011110010000100
31001222002220222212100
422130322003302010
5140440413301012
65053330552100
7545046553506
oct123472036204
931862828770
1011222400132
114839830359
122212438630
13109b025668
14786643d76
1545a3708dc
hex29ce83c84

11222400132 has 18 divisors (see below), whose sum is σ = 28367733758. Its totient is φ = 3740800032.

The previous prime is 11222400131. The next prime is 11222400139. The reversal of 11222400132 is 23100422211.

It is a happy number.

11222400132 is a `hidden beast` number, since 11 + 222 + 400 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8594402436 + 2627997696 = 92706^2 + 51264^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11222400131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155866633 + ... + 155866704.

Almost surely, 211222400132 is an apocalyptic number.

11222400132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222400132 is an abundant number, since it is smaller than the sum of its proper divisors (17145333626).

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

11222400132 is a wasteful number, since it uses less digits than its factorization.

11222400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311733347 (or 311733342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11222400132 its reverse (23100422211), we get a palindrome (34322822343).

The spelling of 11222400132 in words is "eleven billion, two hundred twenty-two million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 311733337 623466674 935200011 1246933348 1870400022 2805600033 3740800044 5611200066 11222400132