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2132304400 = 24525330761
BaseRepresentation
bin111111100011000…
…0110001000010000
312111121022021202001
41333012012020100
513331332220100
6551330403344
7103561200622
oct17706061020
95447267661
102132304400
119a46a2946
124b6130554
1327c9bb9a5
14163298c12
15c72e8d6a
hex7f186210

2132304400 has 30 divisors (see below), whose sum is σ = 5122862282. Its totient is φ = 852921600.

The previous prime is 2132304389. The next prime is 2132304409. The reversal of 2132304400 is 44032312.

It can be written as a sum of positive squares in 3 ways, for example, as 39790864 + 2092513536 = 6308^2 + 45744^2 .

It is not an unprimeable number, because it can be changed into a prime (2132304409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2664981 + ... + 2665780.

Almost surely, 22132304400 is an apocalyptic number.

2132304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132304400 is an abundant number, since it is smaller than the sum of its proper divisors (2990557882).

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

2132304400 is a wasteful number, since it uses less digits than its factorization.

2132304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330779 (or 5330768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2132304400 is about 46176.8816617147. The cubic root of 2132304400 is about 1287.1121828143.

Adding to 2132304400 its reverse (44032312), we get a palindrome (2176336712).

The spelling of 2132304400 in words is "two billion, one hundred thirty-two million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5330761 10661522 21323044 26653805 42646088 53307610 85292176 106615220 133269025 213230440 266538050 426460880 533076100 1066152200 2132304400