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45223360 = 2657131553
BaseRepresentation
bin1010110010000…
…0110111000000
310011002120210021
42230200313000
543034121420
64253143224
71056251350
oct254406700
9104076707
1045223360
1123588a86
121318ab14
1394a51b0
146012b60
153e847aa
hex2b20dc0

45223360 has 112 divisors (see below), whose sum is σ = 132624576. Its totient is φ = 14303232.

The previous prime is 45223357. The next prime is 45223397. The reversal of 45223360 is 6332254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 28344 + ... + 29896.

It is an arithmetic number, because the mean of its divisors is an integer number (1184148).

Almost surely, 245223360 is an apocalyptic number.

45223360 is a gapful number since it is divisible by the number (40) 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 45223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66312288).

45223360 is an abundant number, since it is smaller than the sum of its proper divisors (87401216).

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

45223360 is a wasteful number, since it uses less digits than its factorization.

45223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 45223360 is about 6724.8315964045. The cubic root of 45223360 is about 356.2768540340.

The spelling of 45223360 in words is "forty-five million, two hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1553 1820 2080 2240 2912 3106 3640 4160 5824 6212 7280 7765 10871 12424 14560 15530 20189 21742 24848 29120 31060 40378 43484 49696 54355 62120 80756 86968 99392 100945 108710 124240 141323 161512 173936 201890 217420 248480 282646 323024 347872 403780 434840 496960 565292 646048 695744 706615 807560 869680 1130584 1292096 1413230 1615120 1739360 2261168 2826460 3230240 3478720 4522336 5652920 6460480 9044672 11305840 22611680 45223360