Search a number
-
+
88220672 = 210101853
BaseRepresentation
bin1010100001000…
…10010000000000
320011000002000022
411100202100000
5140041030142
612430513012
72120602061
oct520422000
9204002008
1088220672
1145886551
1225665768
131537b0a7
14ba06568
157b296d2
hex5422400

88220672 has 44 divisors (see below), whose sum is σ = 178310076. Its totient is φ = 43622400.

The previous prime is 88220623. The next prime is 88220681. The reversal of 88220672 is 27602288.

It can be written as a sum of positive squares in 2 ways, for example, as 46022656 + 42198016 = 6784^2 + 6496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102998 + ... + 103850.

Almost surely, 288220672 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 88220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89155038).

88220672 is an abundant number, since it is smaller than the sum of its proper divisors (90089404).

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

88220672 is a wasteful number, since it uses less digits than its factorization.

88220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 88220672 is about 9392.5860123823. The cubic root of 88220672 is about 445.1675033265.

The spelling of 88220672 in words is "eighty-eight million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 853 1024 1616 1706 3232 3412 6464 6824 12928 13648 25856 27296 51712 54592 86153 103424 109184 172306 218368 344612 436736 689224 873472 1378448 2756896 5513792 11027584 22055168 44110336 88220672