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22224834 = 233974243
BaseRepresentation
bin101010011000…
…1111111000010
31112211010202000
41110301333002
521142143314
62112204430
7356623302
oct124617702
945733660
1022224834
11115aa935
127539716
1347b1cb8
142d47602
151e40209
hex1531fc2

22224834 has 32 divisors (see below), whose sum is σ = 49909440. Its totient is φ = 7330176.

The previous prime is 22224823. The next prime is 22224847. The reversal of 22224834 is 43842222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22224798 and 22224807.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (1559670).

Almost surely, 222224834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24954720).

22224834 is an abundant number, since it is smaller than the sum of its proper divisors (27684606).

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

22224834 is a wasteful number, since it uses less digits than its factorization.

22224834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4345 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 22224834 is about 4714.3222206379. The cubic root of 22224834 is about 281.1552356292.

It can be divided in two parts, 2222 and 4834, that added together give a square (7056 = 842).

The spelling of 22224834 in words is "twenty-two million, two hundred twenty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 4243 5238 8486 12729 25458 38187 76374 114561 229122 411571 823142 1234713 2469426 3704139 7408278 11112417 22224834