Search a number
-
+
106226432 = 281359541
BaseRepresentation
bin1100101010011…
…10001100000000
321101212212021022
412111032030000
5204143221212
614312445012
72426624024
oct625161400
9241785238
10106226432
1154a64544
122b6a9768
13190138a0
1410172384
1594d4772
hex654e300

106226432 has 72 divisors (see below), whose sum is σ = 232648080. Its totient is φ = 48107520.

The previous prime is 106226413. The next prime is 106226467. The reversal of 106226432 is 234622601.

It is a super-2 number, since 2×1062264322 = 22568109710901248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196082 + ... + 196622.

Almost surely, 2106226432 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 106226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116324040).

106226432 is an abundant number, since it is smaller than the sum of its proper divisors (126421648).

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

106226432 is an equidigital number, since it uses as much as digits as its factorization.

106226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 106226432 is about 10306.6207847189. The cubic root of 106226432 is about 473.5990960538.

The spelling of 106226432 in words is "one hundred six million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 256 416 472 541 767 832 944 1082 1534 1664 1888 2164 3068 3328 3776 4328 6136 7033 7552 8656 12272 14066 15104 17312 24544 28132 31919 34624 49088 56264 63838 69248 98176 112528 127676 138496 196352 225056 255352 414947 450112 510704 829894 900224 1021408 1659788 1800448 2042816 3319576 4085632 6639152 8171264 13278304 26556608 53113216 106226432