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100220432 = 24131373517
BaseRepresentation
bin1011111100100…
…11111000010000
320222120201120212
411332103320100
5201124023212
613540023252
72324600564
oct576237020
9228521525
10100220432
1151632104
1229691b28
13179bcc40
14d44b6a4
158be9e22
hex5f93e10

100220432 has 40 divisors (see below), whose sum is σ = 210700056. Its totient is φ = 45904896.

The previous prime is 100220431. The next prime is 100220443. The reversal of 100220432 is 234022001.

It can be written as a sum of positive squares in 4 ways, for example, as 25847056 + 74373376 = 5084^2 + 8624^2 .

It is not an unprimeable number, because it can be changed into a prime (100220431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26738 + ... + 30254.

Almost surely, 2100220432 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 100220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105350028).

100220432 is an abundant number, since it is smaller than the sum of its proper divisors (110479624).

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

100220432 is a wasteful number, since it uses less digits than its factorization.

100220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100220432 is about 10011.0155329017. The cubic root of 100220432 is about 464.4996846420.

Adding to 100220432 its reverse (234022001), we get a palindrome (334242433).

The spelling of 100220432 in words is "one hundred million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3517 3562 7034 7124 14068 14248 28136 28496 45721 56272 91442 182884 365768 481829 731536 963658 1927316 3854632 6263777 7709264 12527554 25055108 50110216 100220432