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2242670940 = 22325173671997
BaseRepresentation
bin1000010110101100…
…0111000101011100
312210021222111011200
42011223013011130
514043110432230
61010312115500
7106401250146
oct20553070534
95707874150
102242670940
11a50a24964
12527095b90
13299821b33
14173bc7c96
15d1d4a160
hex85ac715c

2242670940 has 144 divisors (see below), whose sum is σ = 7226174592. Its totient is φ = 561051648.

The previous prime is 2242670939. The next prime is 2242670951. The reversal of 2242670940 is 490762422.

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 = 2242670895 and 2242670904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122022 + ... + 1124018.

It is an arithmetic number, because the mean of its divisors is an integer number (50181768).

Almost surely, 22242670940 is an apocalyptic number.

2242670940 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 2242670940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613087296).

2242670940 is an abundant number, since it is smaller than the sum of its proper divisors (4983503652).

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

2242670940 is a wasteful number, since it uses less digits than its factorization.

2242670940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2242670940 is about 47356.8468122615. The cubic root of 2242670940 is about 1308.9463664326.

The spelling of 2242670940 in words is "two billion, two hundred forty-two million, six hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 367 510 612 734 765 1020 1101 1468 1530 1835 1997 2202 3060 3303 3670 3994 4404 5505 5991 6239 6606 7340 7988 9985 11010 11982 12478 13212 16515 17973 18717 19970 22020 23964 24956 29955 31195 33030 33949 35946 37434 39940 56151 59910 62390 66060 67898 71892 74868 89865 93585 101847 112302 119820 124780 135796 169745 179730 187170 203694 224604 280755 305541 339490 359460 374340 407388 509235 561510 611082 678980 732899 1018470 1123020 1222164 1465798 1527705 2036940 2198697 2931596 3055410 3664495 4397394 6110820 6596091 7328990 8794788 10993485 12459283 13192182 14657980 21986970 24918566 26384364 32980455 37377849 43973940 49837132 62296415 65960910 74755698 112133547 124592830 131921820 149511396 186889245 224267094 249185660 373778490 448534188 560667735 747556980 1121335470 2242670940