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2242183440 = 243571334633
BaseRepresentation
bin1000010110100101…
…0000000100010000
312210021001201110010
42011221100010100
514042444332230
61010253434520
7106364146650
oct20551200420
95707051403
102242183440
11a50721672
12526a9ba40
132996b0c83
14173adc360
15d1ca09b0
hex85a50110

2242183440 has 80 divisors (see below), whose sum is σ = 7943741568. Its totient is φ = 512498688.

The previous prime is 2242183429. The next prime is 2242183513. The reversal of 2242183440 is 443812422.

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

It is a super-2 number, since 2×22421834402 = 10054773157220467200, which contains 22 as substring.

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 = 2242183398 and 2242183407.

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, 665637 + ... + 668996.

Almost surely, 22242183440 is an apocalyptic number.

2242183440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242183440 is an abundant number, since it is smaller than the sum of its proper divisors (5701558128).

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

2242183440 is a wasteful number, since it uses less digits than its factorization.

2242183440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334656 (or 1334650 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2242183440 is about 47351.6994415195. The cubic root of 2242183440 is about 1308.8515156033.

Adding to 2242183440 its reverse (443812422), we get a palindrome (2685995862).

The spelling of 2242183440 in words is "two billion, two hundred forty-two million, one hundred eighty-three thousand, four 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 1334633 2669266 4003899 5338532 6673165 8007798 9342431 10677064 13346330 16015596 18684862 20019495 21354128 26692660 28027293 32031192 37369724 40038990 46712155 53385320 56054586 64062384 74739448 80077980 93424310 106770640 112109172 140136465 149478896 160155960 186848620 224218344 280272930 320311920 373697240 448436688 560545860 747394480 1121091720 2242183440