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2122331432 = 2313711971459
BaseRepresentation
bin111111010000000…
…0011010100101000
312110220112121101212
41332200003110220
513321304101212
6550332532252
7103410343124
oct17640032450
95426477355
102122331432
1199a001021
124b2921088
1327a909520
14161c20584
15c64c8e22
hex7e803528

2122331432 has 64 divisors (see below), whose sum is σ = 4370889600. Its totient is φ = 960180480.

The previous prime is 2122331399. The next prime is 2122331437. The reversal of 2122331432 is 2341332212.

It is a junction number, because it is equal to n+sod(n) for n = 2122331398 and 2122331407.

It is not an unprimeable number, because it can be changed into a prime (2122331437) 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 15 ways as a sum of consecutive naturals, for example, 1453919 + ... + 1455377.

It is an arithmetic number, because the mean of its divisors is an integer number (68295150).

Almost surely, 22122331432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185444800).

2122331432 is an abundant number, since it is smaller than the sum of its proper divisors (2248558168).

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

2122331432 is a wasteful number, since it uses less digits than its factorization.

2122331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1742 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 2122331432 is about 46068.7685096965. The cubic root of 2122331432 is about 1285.1024020701.

Adding to 2122331432 its reverse (2341332212), we get a palindrome (4463663644).

The spelling of 2122331432 in words is "two billion, one hundred twenty-two million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 197 284 394 568 788 923 1459 1576 1846 2561 2918 3692 5122 5836 7384 10244 11672 13987 18967 20488 27974 37934 55948 75868 103589 111896 151736 181831 207178 287423 363662 414356 574846 727324 828712 1149692 1346657 1454648 2299384 2693314 3736499 5386628 7472998 10773256 14945996 20407033 29891992 40814066 81628132 163256264 265291429 530582858 1061165716 2122331432