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2132325540 = 22335193741137
BaseRepresentation
bin111111100011000…
…1011010010100100
312111121100100202000
41333012023102210
513331333404130
6551331045300
7103561316352
oct17706132244
95447310660
102132325540
119a4707814
124b6140830
1327c9c84b7
141632a27d2
15c7300260
hex7f18b4a4

2132325540 has 384 divisors, whose sum is σ = 7400332800. Its totient is φ = 507617280.

The previous prime is 2132325539. The next prime is 2132325551. The reversal of 2132325540 is 455232312.

It is a happy number.

2132325540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15564352 + ... + 15564488.

It is an arithmetic number, because the mean of its divisors is an integer number (19271700).

Almost surely, 22132325540 is an apocalyptic number.

2132325540 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 2132325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700166400).

2132325540 is an abundant number, since it is smaller than the sum of its proper divisors (5268007260).

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

2132325540 is a wasteful number, since it uses less digits than its factorization.

2132325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2132325540 is about 46177.1105635682. The cubic root of 2132325540 is about 1287.1164363442.

Adding to 2132325540 its reverse (455232312), we get a palindrome (2587557852).

The spelling of 2132325540 in words is "two billion, one hundred thirty-two million, three hundred twenty-five thousand, five hundred forty".