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22066752 = 2631923263
BaseRepresentation
bin101010000101…
…1011001000000
31112112002220010
41110023121000
521122114002
62104544520
7355364361
oct124133100
945462803
1022066752
1111502094
127482140
134758066
142d05b68
151e0d46c
hex150b640

22066752 has 112 divisors (see below), whose sum is σ = 64373760. Its totient is φ = 6640128.

The previous prime is 22066741. The next prime is 22066757. The reversal of 22066752 is 25766022.

It is not an unprimeable number, because it can be changed into a prime (22066757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83773 + ... + 84035.

Almost surely, 222066752 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 22066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186880).

22066752 is an abundant number, since it is smaller than the sum of its proper divisors (42307008).

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

22066752 is a wasteful number, since it uses less digits than its factorization.

22066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 22066752 is about 4697.5261574578. The cubic root of 22066752 is about 280.4870434818.

The spelling of 22066752 in words is "twenty-two million, sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 263 276 304 368 437 456 526 552 608 736 789 874 912 1052 1104 1216 1311 1472 1578 1748 1824 2104 2208 2622 3156 3496 3648 4208 4416 4997 5244 6049 6312 6992 8416 9994 10488 12098 12624 13984 14991 16832 18147 19988 20976 24196 25248 27968 29982 36294 39976 41952 48392 50496 59964 72588 79952 83904 96784 114931 119928 145176 159904 193568 229862 239856 290352 319808 344793 387136 459724 479712 580704 689586 919448 959424 1161408 1379172 1838896 2758344 3677792 5516688 7355584 11033376 22066752