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2245056240 = 243571336343
BaseRepresentation
bin1000010111010000…
…1101011011110000
312210110110200012010
42011310031123300
514044213244430
61010435202520
7106430443320
oct20564153360
95713420163
102245056240
11a52303a89
12527a46440
1329a17875b
14174249280
15d216bcb0
hex85d0d6f0

2245056240 has 80 divisors (see below), whose sum is σ = 7953919488. Its totient is φ = 513155328.

The previous prime is 2245056217. The next prime is 2245056241. The reversal of 2245056240 is 426505422.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2245056198 and 2245056207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245056241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666492 + ... + 669851.

Almost surely, 22245056240 is an apocalyptic number.

2245056240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245056240 is an abundant number, since it is smaller than the sum of its proper divisors (5708863248).

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

2245056240 is a wasteful number, since it uses less digits than its factorization.

2245056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336366 (or 1336360 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2245056240 is about 47382.0244396543. The cubic root of 2245056240 is about 1309.4102661862.

The spelling of 2245056240 in words is "two billion, two hundred forty-five million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1336343 2672686 4009029 5345372 6681715 8018058 9354401 10690744 13363430 16036116 18708802 20045145 21381488 26726860 28063203 32072232 37417604 40090290 46772005 53453720 56126406 64144464 74835208 80180580 93544010 106907440 112252812 140316015 149670416 160361160 187088020 224505624 280632030 320722320 374176040 449011248 561264060 748352080 1122528120 2245056240