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2245848960 = 27351169713
BaseRepresentation
bin1000010111011100…
…1110111110000000
312210111221221121010
42011313032332000
514044414131320
61010504200520
7106440254415
oct20567167600
95714857533
102245848960
11a527a5623
12528169140
1329a395514
141743b410c
15d2276ae0
hex85dcef80

2245848960 has 64 divisors (see below), whose sum is σ = 7158649680. Its totient is φ = 598892544.

The previous prime is 2245848953. The next prime is 2245848967. The reversal of 2245848960 is 698485422.

It is a happy number.

2245848960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2245848953) and next prime (2245848967).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22458489602 = 10087675102266163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245848967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582937 + ... + 586776.

Almost surely, 22245848960 is an apocalyptic number.

2245848960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245848960 is an abundant number, since it is smaller than the sum of its proper divisors (4912800720).

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

2245848960 is a wasteful number, since it uses less digits than its factorization.

2245848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169735 (or 1169723 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2245848960 is about 47390.3888990162. The cubic root of 2245848960 is about 1309.5643638194.

The spelling of 2245848960 in words is "two billion, two hundred forty-five million, eight hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1169713 2339426 3509139 4678852 5848565 7018278 9357704 11697130 14036556 17545695 18715408 23394260 28073112 35091390 37430816 46788520 56146224 70182780 74861632 93577040 112292448 140365560 149723264 187154080 224584896 280731120 374308160 449169792 561462240 748616320 1122924480 2245848960