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10132220 = 22574211
BaseRepresentation
bin100110101001…
…101011111100
3201001202210102
4212221223330
510043212340
61001100232
7152060000
oct46515374
921052712
1010132220
1157a053a
123487678
132139ac7
1414ba700
15d52215
hex9a9afc

10132220 has 60 divisors (see below), whose sum is σ = 24940104. Its totient is φ = 3457440.

The previous prime is 10132217. The next prime is 10132229. The reversal of 10132220 is 2223101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47915 + ... + 48125.

Almost surely, 210132220 is an apocalyptic number.

10132220 is a gapful number since it is divisible by the number (10) 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 10132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470052).

10132220 is an abundant number, since it is smaller than the sum of its proper divisors (14807884).

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

10132220 is an equidigital number, since it uses as much as digits as its factorization.

10132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10132220 is about 3183.1148267067. The cubic root of 10132220 is about 216.3888457572.

Adding to 10132220 its reverse (2223101), we get a palindrome (12355321).

The spelling of 10132220 in words is "ten million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 211 245 343 422 490 686 844 980 1055 1372 1477 1715 2110 2401 2954 3430 4220 4802 5908 6860 7385 9604 10339 12005 14770 20678 24010 29540 41356 48020 51695 72373 103390 144746 206780 289492 361865 506611 723730 1013222 1447460 2026444 2533055 5066110 10132220