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10220412 = 2232943683
BaseRepresentation
bin100110111111…
…001101111100
3201020020202210
4212333031330
510104023122
61003020420
7152605056
oct46771574
921206683
1010220412
115850824
12350a710
13216aca7
1415008d6
15d6d40c
hex9bf37c

10220412 has 48 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 3208128.

The previous prime is 10220411. The next prime is 10220429. The reversal of 10220412 is 21402201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14623 + ... + 15305.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 210220412 is an apocalyptic number.

10220412 is a gapful number since it is divisible by the number (12) 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 10220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

10220412 is an abundant number, since it is smaller than the sum of its proper divisors (15060228).

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

10220412 is a wasteful number, since it uses less digits than its factorization.

10220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10220412 is about 3196.9379099382. The cubic root of 10220412 is about 217.0148573715.

Adding to 10220412 its reverse (21402201), we get a palindrome (31622613).

The spelling of 10220412 in words is "ten million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 683 1247 1366 2049 2494 2732 3741 4098 4988 7482 8196 14964 19807 29369 39614 58738 59421 79228 88107 117476 118842 176214 237684 352428 851701 1703402 2555103 3406804 5110206 10220412