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2132322220 = 225723795741
BaseRepresentation
bin111111100011000…
…1010011110101100
312111121100012012001
41333012022132230
513331333302340
6551331022044
7103561303600
oct17706123654
95447305161
102132322220
119a4705276
124b613a924
1327c9c6b32
141632a1500
15c72ee29a
hex7f18a7ac

2132322220 has 72 divisors (see below), whose sum is σ = 5223612240. Its totient is φ = 729025920.

The previous prime is 2132322217. The next prime is 2132322221. The reversal of 2132322220 is 222232312.

2132322220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2132322221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368550 + ... + 374290.

It is an arithmetic number, because the mean of its divisors is an integer number (72550170).

Almost surely, 22132322220 is an apocalyptic number.

2132322220 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 2132322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611806120).

2132322220 is an abundant number, since it is smaller than the sum of its proper divisors (3091290020).

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

2132322220 is a wasteful number, since it uses less digits than its factorization.

2132322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6134 counting only the distinct ones).

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

The square root of 2132322220 is about 46177.0746150078. The cubic root of 2132322220 is about 1287.1157683367.

Adding to 2132322220 its reverse (222232312), we get a palindrome (2354554532).

The spelling of 2132322220 in words is "two billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 379 490 758 980 1516 1895 2653 3790 5306 5741 7580 10612 11482 13265 18571 22964 26530 28705 37142 40187 53060 57410 74284 80374 92855 114820 160748 185710 200935 281309 371420 401870 562618 803740 1125236 1406545 2175839 2813090 4351678 5626180 8703356 10879195 15230873 21758390 30461746 43516780 60923492 76154365 106616111 152308730 213232222 304617460 426464444 533080555 1066161110 2132322220