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2242625280 = 2835783431
BaseRepresentation
bin1000010110101011…
…1011111100000000
312210021220011112120
42011222323330000
514043103002110
61010311124240
7106401000060
oct20552737400
95707804476
102242625280
11a509a3625
12527073680
1329980710c
14173bb53a0
15d1d3b870
hex85abbf00

2242625280 has 144 divisors (see below), whose sum is σ = 8185680384. Its totient is φ = 512593920.

The previous prime is 2242625269. The next prime is 2242625291. The reversal of 2242625280 is 825262422.

It is an interprime number because it is at equal distance from previous prime (2242625269) and next prime (2242625291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14836 + ... + 68595.

Almost surely, 22242625280 is an apocalyptic number.

2242625280 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 2242625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092840192).

2242625280 is an abundant number, since it is smaller than the sum of its proper divisors (5943055104).

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

2242625280 is an equidigital number, since it uses as much as digits as its factorization.

2242625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83462 (or 83448 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2242625280 is about 47356.3647253461. The cubic root of 2242625280 is about 1308.9374831415.

The spelling of 2242625280 in words is "two billion, two hundred forty-two million, six hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 83431 166862 250293 333724 417155 500586 584017 667448 834310 1001172 1168034 1251465 1334896 1668620 1752051 2002344 2336068 2502930 2669792 2920085 3337240 3504102 4004688 4672136 5005860 5339584 5840170 6674480 7008204 8009376 8760255 9344272 10011720 10679168 11680340 13348960 14016408 16018752 17520510 18688544 20023440 21358336 23360680 26697920 28032816 32037504 35041020 37377088 40046880 46721360 53395840 56065632 64075008 70082040 74754176 80093760 93442720 106791680 112131264 140164080 149508352 160187520 186885440 224262528 280328160 320375040 373770880 448525056 560656320 747541760 1121312640 2242625280