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22074096 = 2431197431
BaseRepresentation
bin101010000110…
…1001011110000
31112112110222010
41110031023300
521122332341
62105042520
7355424652
oct124151360
945473863
1022074096
1111507660
127486440
13475b4c5
142d086d2
151e10716
hex150d2f0

22074096 has 80 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 6604800.

The previous prime is 22074049. The next prime is 22074103. The reversal of 22074096 is 69047022.

22074096 = 8152 + 8162 + ... + 8462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51001 + ... + 51431.

Almost surely, 222074096 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 22074096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

22074096 is an abundant number, since it is smaller than the sum of its proper divisors (40921872).

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

22074096 is a wasteful number, since it uses less digits than its factorization.

22074096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 22074096 is about 4698.3077804673. The cubic root of 22074096 is about 280.5181561768.

The spelling of 22074096 in words is "twenty-two million, seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 431 528 582 776 862 1067 1164 1293 1552 1724 2134 2328 2586 3201 3448 4268 4656 4741 5172 6402 6896 8536 9482 10344 12804 14223 17072 18964 20688 25608 28446 37928 41807 51216 56892 75856 83614 113784 125421 167228 227568 250842 334456 459877 501684 668912 919754 1003368 1379631 1839508 2006736 2759262 3679016 5518524 7358032 11037048 22074096