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2132274300 = 223521317291109
BaseRepresentation
bin111111100010111…
…1110110001111100
312111121020202110020
41333011332301330
513331330234200
6551330012140
7103561014102
oct17705766174
95447222406
102132274300
119a4682272
124b6117050
1327c9ab090
1416328bc72
15c72deea0
hex7f17ec7c

2132274300 has 288 divisors, whose sum is σ = 7283908800. Its totient is φ = 476528640.

The previous prime is 2132274289. The next prime is 2132274307. The reversal of 2132274300 is 34722312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132274307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1922146 + ... + 1923254.

It is an arithmetic number, because the mean of its divisors is an integer number (25291350).

Almost surely, 22132274300 is an apocalyptic number.

2132274300 is a gapful number since it is divisible by the number (20) 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 2132274300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641954400).

2132274300 is an abundant number, since it is smaller than the sum of its proper divisors (5151634500).

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

2132274300 is a wasteful number, since it uses less digits than its factorization.

2132274300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2132274300 is about 46176.5557398990. Note that the first 3 decimals coincide. The cubic root of 2132274300 is about 1287.1061264153.

Adding to 2132274300 its reverse (34722312), we get a palindrome (2166996612).

The spelling of 2132274300 in words is "two billion, one hundred thirty-two million, two hundred seventy-four thousand, three hundred".