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2225837040 = 243575212543
BaseRepresentation
bin1000010010101011…
…1001001111110000
312202010022020101220
42010222321033300
514024303241130
61004511225040
7106105205550
oct20452711760
95663266356
102225837040
11a42477349
12521518180
132961a984b
14171885160
15d0622410
hex84ab93f0

2225837040 has 160 divisors (see below), whose sum is σ = 7904065536. Its totient is φ = 507586560.

The previous prime is 2225837039. The next prime is 2225837063. The reversal of 2225837040 is 407385222.

It is a junction number, because it is equal to n+sod(n) for n = 2225836992 and 2225837010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874009 + ... + 876551.

Almost surely, 22225837040 is an apocalyptic number.

2225837040 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 2225837040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952032768).

2225837040 is an abundant number, since it is smaller than the sum of its proper divisors (5678228496).

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

2225837040 is a wasteful number, since it uses less digits than its factorization.

2225837040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2225837040 is about 47178.7774322311. Note that the first 3 decimals coincide. The cubic root of 2225837040 is about 1305.6630737292.

The spelling of 2225837040 in words is "two billion, two hundred twenty-five million, eight hundred thirty-seven thousand, 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 84 105 112 120 140 168 210 240 280 336 420 521 560 840 1042 1563 1680 2084 2543 2605 3126 3647 4168 5086 5210 6252 7294 7629 7815 8336 10172 10420 10941 12504 12715 14588 15258 15630 17801 18235 20344 20840 21882 25008 25430 29176 30516 31260 35602 36470 38145 40688 41680 43764 50860 53403 54705 58352 61032 62520 71204 72940 76290 87528 89005 101720 106806 109410 122064 125040 142408 145880 152580 175056 178010 203440 213612 218820 267015 284816 291760 305160 356020 427224 437640 534030 610320 712040 854448 875280 1068060 1324903 1424080 2136120 2649806 3974709 4272240 5299612 6624515 7949418 9274321 10599224 13249030 15898836 18548642 19873545 21198448 26498060 27822963 31797672 37097284 39747090 46371605 52996120 55645926 63595344 74194568 79494180 92743210 105992240 111291852 139114815 148389136 158988360 185486420 222583704 278229630 317976720 370972840 445167408 556459260 741945680 1112918520 2225837040