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10622472 = 2337531193
BaseRepresentation
bin101000100001…
…011000001000
3201222200021220
4220201120020
510204404342
61015402040
7156201210
oct50413010
921880256
1010622472
115aa5903
123683320
13227bcb3
1415a7240
15dec5ec
hexa21608

10622472 has 64 divisors (see below), whose sum is σ = 30948480. Its totient is φ = 2975232.

The previous prime is 10622471. The next prime is 10622477. The reversal of 10622472 is 27422601.

It is a super-2 number, since 2×106224722 = 225673822781568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10622471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8308 + ... + 9500.

It is an arithmetic number, because the mean of its divisors is an integer number (483570).

Almost surely, 210622472 is an apocalyptic number.

10622472 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 10622472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474240).

10622472 is an abundant number, since it is smaller than the sum of its proper divisors (20326008).

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

10622472 is a wasteful number, since it uses less digits than its factorization.

10622472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10622472 is about 3259.2134020343. The cubic root of 10622472 is about 219.8240466400.

It can be divided in two parts, 106 and 22472, that added together give a triangular number (22578 = T212).

The spelling of 10622472 in words is "ten million, six hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1193 1272 1484 2226 2386 2968 3579 4452 4772 7158 8351 8904 9544 14316 16702 25053 28632 33404 50106 63229 66808 100212 126458 189687 200424 252916 379374 442603 505832 758748 885206 1327809 1517496 1770412 2655618 3540824 5311236 10622472