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22740720 = 2435194987
BaseRepresentation
bin101011010111…
…1111011110000
31120210100101220
41112233323300
521310200340
62131225040
7364202322
oct126577360
946710356
1022740720
1111922492
127748180
134932a62
14303d612
151ee2ed0
hex15afef0

22740720 has 80 divisors (see below), whose sum is σ = 74221440. Its totient is φ = 5743872.

The previous prime is 22740719. The next prime is 22740743. The reversal of 22740720 is 2704722.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×227407202 = 1034280692236800, which contains 22 as substring.

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, 2067 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (927768).

Almost surely, 222740720 is an apocalyptic number.

22740720 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 22740720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110720).

22740720 is an abundant number, since it is smaller than the sum of its proper divisors (51480720).

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

22740720 is a wasteful number, since it uses less digits than its factorization.

22740720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 22740720 is about 4768.7230995309. The cubic root of 22740720 is about 283.3140225209.

The spelling of 22740720 in words is "twenty-two million, seven hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4987 9974 14961 19948 24935 29922 39896 49870 59844 74805 79792 94753 99740 119688 149610 189506 199480 239376 284259 299220 379012 398960 473765 568518 598440 758024 947530 1137036 1196880 1421295 1516048 1895060 2274072 2842590 3790120 4548144 5685180 7580240 11370360 22740720