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2132023302 = 23389547811
BaseRepresentation
bin111111100010100…
…0001100000000110
312111120210000011000
41333011001200012
513331244221202
6551320354130
7103555620243
oct17705014006
95446700130
102132023302
119a4520732
124b6015946
1327c920a66
141632245ca
15c729091c
hex7f141806

2132023302 has 64 divisors (see below), whose sum is σ = 4805740800. Its totient is φ = 700539840.

The previous prime is 2132023219. The next prime is 2132023303. The reversal of 2132023302 is 2033202312.

It is a happy number.

2132023302 is a `hidden beast` number, since 21 + 320 + 23 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132023303) 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 31 ways as a sum of consecutive naturals, for example, 2628477 + ... + 2629287.

It is an arithmetic number, because the mean of its divisors is an integer number (75089700).

Almost surely, 22132023302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132023302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402870400).

2132023302 is an abundant number, since it is smaller than the sum of its proper divisors (2673717498).

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

2132023302 is a wasteful number, since it uses less digits than its factorization.

2132023302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2132023302 is about 46173.8378521864. The cubic root of 2132023302 is about 1287.0556210714.

Adding to 2132023302 its reverse (2033202312), we get a palindrome (4165225614).

The spelling of 2132023302 in words is "two billion, one hundred thirty-two million, twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 547 801 811 1094 1602 1622 1641 2403 2433 3282 4806 4866 4923 7299 9846 14598 14769 21897 29538 43794 48683 72179 97366 144358 146049 216537 292098 433074 438147 443617 649611 876294 887234 1299222 1314441 1330851 1948833 2628882 2661702 3897666 3992553 7985106 11977659 23955318 39481913 78963826 118445739 236891478 355337217 710674434 1066011651 2132023302