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22714320 = 2435314371
BaseRepresentation
bin101011010100…
…1011111010000
31120202000012010
41112221133100
521303324240
62130502520
7364032336
oct126513720
946660163
1022714320
1111904672
127734a40
134923a35
143033b56
151eda280
hex15a97d0

22714320 has 160 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 5644800.

The previous prime is 22714267. The next prime is 22714327. The reversal of 22714320 is 2341722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22714327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 319885 + ... + 319955.

Almost surely, 222714320 is an apocalyptic number.

22714320 is a gapful number since it is divisible by the number (20) 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 22714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

22714320 is an abundant number, since it is smaller than the sum of its proper divisors (52709424).

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

22714320 is a wasteful number, since it uses less digits than its factorization.

22714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22714320 is about 4765.9542591175. The cubic root of 22714320 is about 283.2043457471.

The spelling of 22714320 in words is "twenty-two million, seven hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 43 48 60 62 71 80 86 93 120 124 129 142 155 172 186 213 215 240 248 258 284 310 344 355 372 426 430 465 496 516 568 620 645 688 710 744 852 860 930 1032 1065 1136 1240 1290 1333 1420 1488 1704 1720 1860 2064 2130 2201 2480 2580 2666 2840 3053 3408 3440 3720 3999 4260 4402 5160 5332 5680 6106 6603 6665 7440 7998 8520 8804 9159 10320 10664 11005 12212 13206 13330 15265 15996 17040 17608 18318 19995 21328 22010 24424 26412 26660 30530 31992 33015 35216 36636 39990 44020 45795 48848 52824 53320 61060 63984 66030 73272 79980 88040 91590 94643 105648 106640 122120 132060 146544 159960 176080 183180 189286 244240 264120 283929 319920 366360 378572 473215 528240 567858 732720 757144 946430 1135716 1419645 1514288 1892860 2271432 2839290 3785720 4542864 5678580 7571440 11357160 22714320