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22136064 = 283193741
BaseRepresentation
bin101010001110…
…0010100000000
31112122121222020
41110130110000
521131323224
62110241440
7356103426
oct124342400
945577866
1022136064
111154a175
1274b6280
134780782
142d23116
151e23c79
hex151c500

22136064 has 144 divisors (see below), whose sum is σ = 65244480. Its totient is φ = 6635520.

The previous prime is 22136029. The next prime is 22136071. The reversal of 22136064 is 46063122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539884 + ... + 539924.

Almost surely, 222136064 is an apocalyptic number.

22136064 is a gapful number since it is divisible by the number (24) 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 22136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622240).

22136064 is an abundant number, since it is smaller than the sum of its proper divisors (43108416).

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

22136064 is a wasteful number, since it uses less digits than its factorization.

22136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22136064 is about 4704.8978734931. The cubic root of 22136064 is about 280.7804078830.

Adding to 22136064 its reverse (46063122), we get a palindrome (68199186).

The spelling of 22136064 in words is "twenty-two million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 41 48 57 64 74 76 82 96 111 114 123 128 148 152 164 192 222 228 246 256 296 304 328 384 444 456 492 592 608 656 703 768 779 888 912 984 1184 1216 1312 1406 1517 1558 1776 1824 1968 2109 2337 2368 2432 2624 2812 3034 3116 3552 3648 3936 4218 4551 4674 4736 4864 5248 5624 6068 6232 7104 7296 7872 8436 9102 9348 9472 10496 11248 12136 12464 14208 14592 15744 16872 18204 18696 22496 24272 24928 28416 28823 31488 33744 36408 37392 44992 48544 49856 57646 67488 72816 74784 86469 89984 97088 99712 115292 134976 145632 149568 172938 179968 194176 199424 230584 269952 291264 299136 345876 388352 461168 539904 582528 598272 691752 922336 1165056 1383504 1844672 2767008 3689344 5534016 7378688 11068032 22136064