Search a number
-
+
32299130880 = 213325412137
BaseRepresentation
bin11110000101001011…
…011010000000000000
310002100222111212000200
4132011023122000000
51012122034142010
622501002245200
72222255040222
oct360513320000
9102328455020
1032299130880
11127750210a5
126314ab6800
1330797c4783
1417c592c412
15c908c7cc0
hex7852da000

32299130880 has 336 divisors, whose sum is σ = 114747973704. Its totient is φ = 8399093760.

The previous prime is 32299130869. The next prime is 32299130917. The reversal of 32299130880 is 8803199223.

It can be written as a sum of positive squares in 4 ways, for example, as 8528891904 + 23770238976 = 92352^2 + 154176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15113172 + ... + 15115308.

Almost surely, 232299130880 is an apocalyptic number.

32299130880 is a gapful number since it is divisible by the number (30) 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 32299130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57373986852).

32299130880 is an abundant number, since it is smaller than the sum of its proper divisors (82448842824).

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

32299130880 is a wasteful number, since it uses less digits than its factorization.

32299130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 32299130880 in words is "thirty-two billion, two hundred ninety-nine million, one hundred thirty thousand, eight hundred eighty".