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2245716320 = 255172335897
BaseRepresentation
bin1000010111011010…
…1110100101100000
312210111201012122112
42011312232211200
514044400410240
61010501254452
7106436162621
oct20566564540
95714635575
102245716320
11a52714a01
12528104428
1329a34a033
1417437ba48
15d224c665
hex85dae960

2245716320 has 96 divisors (see below), whose sum is σ = 5861999808. Its totient is φ = 808665088.

The previous prime is 2245716299. The next prime is 2245716349. The reversal of 2245716320 is 236175422.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 44612 + ... + 80508.

It is an arithmetic number, because the mean of its divisors is an integer number (61062498).

Almost surely, 22245716320 is an apocalyptic number.

2245716320 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 2245716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930999904).

2245716320 is an abundant number, since it is smaller than the sum of its proper divisors (3616283488).

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

2245716320 is a wasteful number, since it uses less digits than its factorization.

2245716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35952 (or 35944 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2245716320 is about 47388.9894384761. The cubic root of 2245716320 is about 1309.5385823236.

The spelling of 2245716320 in words is "two billion, two hundred forty-five million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 68 80 85 92 115 136 160 170 184 230 272 340 368 391 460 544 680 736 782 920 1360 1564 1840 1955 2720 3128 3680 3910 6256 7820 12512 15640 31280 35897 62560 71794 143588 179485 287176 358970 574352 610249 717940 825631 1148704 1220498 1435880 1651262 2440996 2871760 3051245 3302524 4128155 4881992 5743520 6102490 6605048 8256310 9763984 12204980 13210096 14035727 16512620 19527968 24409960 26420192 28071454 33025240 48819920 56142908 66050480 70178635 97639840 112285816 132100960 140357270 224571632 280714540 449143264 561429080 1122858160 2245716320