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22941396 = 223223103269
BaseRepresentation
bin101011110000…
…0111011010100
31121011112200100
41113200323110
521333111041
62135414100
7365666352
oct127407324
947145610
1022941396
1111a4a235
127824330
1349a31ba
1430927d2
1520326b6
hex15e0ed4

22941396 has 72 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 7216704.

The previous prime is 22941377. The next prime is 22941409. The reversal of 22941396 is 69314922.

22941396 is a `hidden beast` number, since 229 + 41 + 396 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22941396.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 85150 + ... + 85418.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 222941396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22941396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

22941396 is an abundant number, since it is smaller than the sum of its proper divisors (38385324).

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

22941396 is a wasteful number, since it uses less digits than its factorization.

22941396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 22941396 is about 4789.7177369862. The cubic root of 22941396 is about 284.1449534449.

The spelling of 22941396 in words is "twenty-two million, nine hundred forty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 103 138 206 207 269 276 309 412 414 538 618 807 828 927 1076 1236 1614 1854 2369 2421 3228 3708 4738 4842 6187 7107 9476 9684 12374 14214 18561 21321 24748 27707 28428 37122 42642 55414 55683 74244 83121 85284 110828 111366 166242 222732 249363 332484 498726 637261 997452 1274522 1911783 2549044 3823566 5735349 7647132 11470698 22941396