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10204220 = 2251323019
BaseRepresentation
bin100110111011…
…010000111100
3201012102120002
4212323100330
510103013340
61002413432
7152506625
oct46732074
921172502
1010204220
11583a644
123501278
132163800
1414d8a4c
15d68715
hex9bb43c

10204220 has 36 divisors (see below), whose sum is σ = 23211720. Its totient is φ = 3766464.

The previous prime is 10204219. The next prime is 10204223. The reversal of 10204220 is 2240201.

It is a super-2 number, since 2×102042202 = 208252211616800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1871 + ... + 4889.

It is an arithmetic number, because the mean of its divisors is an integer number (644770).

Almost surely, 210204220 is an apocalyptic number.

10204220 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 10204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11605860).

10204220 is an abundant number, since it is smaller than the sum of its proper divisors (13007500).

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

10204220 is a wasteful number, since it uses less digits than its factorization.

10204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10204220 is about 3194.4044828418. The cubic root of 10204220 is about 216.9001926568.

Adding to 10204220 its reverse (2240201), we get a palindrome (12444421).

The spelling of 10204220 in words is "ten million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3019 3380 6038 12076 15095 30190 39247 60380 78494 156988 196235 392470 510211 784940 1020422 2040844 2551055 5102110 10204220