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22116096 = 283229331
BaseRepresentation
bin101010001011…
…1011100000000
31112121121120200
41110113130000
521130203341
62110005200
7355661262
oct124273400
945547520
1022116096
1111536172
1274a6800
134774662
142d19b32
151e1cdb6
hex1517700

22116096 has 108 divisors (see below), whose sum is σ = 66164280. Its totient is φ = 7096320.

The previous prime is 22116079. The next prime is 22116109. The reversal of 22116096 is 69061122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66651 + ... + 66981.

Almost surely, 222116096 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 22116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33082140).

22116096 is an abundant number, since it is smaller than the sum of its proper divisors (44048184).

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

22116096 is a wasteful number, since it uses less digits than its factorization.

22116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22116096 is about 4702.7753507902. The cubic root of 22116096 is about 280.6959558042.

The spelling of 22116096 in words is "twenty-two million, one hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 331 348 384 464 522 576 662 696 768 928 993 1044 1152 1324 1392 1856 1986 2088 2304 2648 2784 2979 3712 3972 4176 5296 5568 5958 7424 7944 8352 9599 10592 11136 11916 15888 16704 19198 21184 22272 23832 28797 31776 33408 38396 42368 47664 57594 63552 66816 76792 84736 86391 95328 115188 127104 153584 172782 190656 230376 254208 307168 345564 381312 460752 614336 691128 762624 921504 1228672 1382256 1843008 2457344 2764512 3686016 5529024 7372032 11058048 22116096