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2222042240 = 27511315631
BaseRepresentation
bin1000010001110001…
…1010110010000000
312201212011102220202
42010130122302000
514022320322430
61004254024332
7106031022155
oct20434326200
95655142822
102222042240
11a40315250
125201a80a8
1329547b4c2
1417117822c
15d0122d45
hex8471ac80

2222042240 has 64 divisors (see below), whose sum is σ = 5795003520. Its totient is φ = 808012800.

The previous prime is 2222042233. The next prime is 2222042287. The reversal of 2222042240 is 422402222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150776 + ... + 164855.

It is an arithmetic number, because the mean of its divisors is an integer number (90546930).

Almost surely, 22222042240 is an apocalyptic number.

2222042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222042240 is an abundant number, since it is smaller than the sum of its proper divisors (3572961280).

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

2222042240 is a wasteful number, since it uses less digits than its factorization.

2222042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315661 (or 315649 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2222042240 is about 47138.5430407008. The cubic root of 2222042240 is about 1304.9206491096.

Adding to 2222042240 its reverse (422402222), we get a palindrome (2644444462).

The spelling of 2222042240 in words is "two billion, two hundred twenty-two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 315631 631262 1262524 1578155 2525048 3156310 3471941 5050096 6312620 6943882 10100192 12625240 13887764 17359705 20200384 25250480 27775528 34719410 40400768 50500960 55551056 69438820 101001920 111102112 138877640 202003840 222204224 277755280 444408448 555510560 1111021120 2222042240