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2243582640 = 2432513239699
BaseRepresentation
bin1000010110111010…
…0101101010110000
312210100200210210100
42011232211222300
514043324121030
61010343432400
7106412065155
oct20556455260
95710623710
102243582640
11a51497932
12527455700
13299a80ac0
14173d8422c
15d1e7a360
hex85ba5ab0

2243582640 has 120 divisors (see below), whose sum is σ = 8114324400. Its totient is φ = 552264192.

The previous prime is 2243582639. The next prime is 2243582687. The reversal of 2243582640 is 462853422.

2243582640 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2243582595 and 2243582604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110490 + ... + 129209.

It is an arithmetic number, because the mean of its divisors is an integer number (67619370).

Almost surely, 22243582640 is an apocalyptic number.

2243582640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243582640 is an abundant number, since it is smaller than the sum of its proper divisors (5870741760).

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

2243582640 is a wasteful number, since it uses less digits than its factorization.

2243582640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239731 (or 239722 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2243582640 is about 47366.4716862044. The cubic root of 2243582640 is about 1309.1237151922.

The spelling of 2243582640 in words is "two billion, two hundred forty-three million, five hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 239699 479398 719097 958796 1198495 1438194 1917592 2157291 2396990 2876388 3116087 3595485 3835184 4314582 4793980 5752776 6232174 7190970 8629164 9348261 9587960 10786455 11505552 12464348 14381940 15580435 17258328 18696522 19175920 21572910 24928696 28044783 28763880 31160870 34516656 37393044 43145820 46741305 49857392 56089566 57527760 62321740 74786088 86291640 93482610 112179132 124643480 140223915 149572176 172583280 186965220 224358264 249286960 280447830 373930440 448716528 560895660 747860880 1121791320 2243582640