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2132312232 = 233293379091
BaseRepresentation
bin111111100011000…
…1000000010101000
312111121022200111010
41333012020002220
513331332442412
6551330503520
7103561232511
oct17706100250
95447280433
102132312232
119a46a8816
124b6134ba0
1327c9c241b
1416329ba08
15c72eb33c
hex7f1880a8

2132312232 has 64 divisors (see below), whose sum is σ = 5531572800. Its totient is φ = 684149760.

The previous prime is 2132312209. The next prime is 2132312233. The reversal of 2132312232 is 2322132312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2132312199 and 2132312208.

It is not an unprimeable number, because it can be changed into a prime (2132312233) 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, 230007 + ... + 239097.

It is an arithmetic number, because the mean of its divisors is an integer number (86430825).

Almost surely, 22132312232 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 2132312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765786400).

2132312232 is an abundant number, since it is smaller than the sum of its proper divisors (3399260568).

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

2132312232 is a wasteful number, since it uses less digits than its factorization.

2132312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9462 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2132312232 is about 46176.9664659774. The cubic root of 2132312232 is about 1287.1137586760.

Adding to 2132312232 its reverse (2322132312), we get a palindrome (4454444544).

The spelling of 2132312232 in words is "two billion, one hundred thirty-two million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 337 348 674 696 1011 1348 2022 2696 4044 8088 9091 9773 18182 19546 27273 29319 36364 39092 54546 58638 72728 78184 109092 117276 218184 234552 263639 527278 790917 1054556 1581834 2109112 3063667 3163668 6127334 6327336 9191001 12254668 18382002 24509336 36764004 73528008 88846343 177692686 266539029 355385372 533078058 710770744 1066156116 2132312232