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2222121120 = 25354629419
BaseRepresentation
bin1000010001110010…
…1110000010100000
312201212022110010020
42010130232002200
514022330333440
61004255433440
7106031501142
oct20434560240
95655273106
102222121120
11a4036953a
12520225880
132954a838b
14171198c92
15d013b3d0
hex8472e0a0

2222121120 has 48 divisors (see below), whose sum is σ = 6999683040. Its totient is φ = 592565504.

The previous prime is 2222121113. The next prime is 2222121127. The reversal of 2222121120 is 211212222.

It is an interprime number because it is at equal distance from previous prime (2222121113) and next prime (2222121127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2222121120.

It is not an unprimeable number, because it can be changed into a prime (2222121127) by changing a digit.

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, 2314230 + ... + 2315189.

It is an arithmetic number, because the mean of its divisors is an integer number (145826730).

Almost surely, 22222121120 is an apocalyptic number.

2222121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222121120 is an abundant number, since it is smaller than the sum of its proper divisors (4777561920).

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

2222121120 is a wasteful number, since it uses less digits than its factorization.

2222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629437 (or 4629429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2222121120 is about 47139.3797159021. The cubic root of 2222121120 is about 1304.9360899986.

Adding to 2222121120 its reverse (211212222), we get a palindrome (2433333342).

The spelling of 2222121120 in words is "two billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4629419 9258838 13888257 18517676 23147095 27776514 37035352 46294190 55553028 69441285 74070704 92588380 111106056 138882570 148141408 185176760 222212112 277765140 370353520 444424224 555530280 740707040 1111060560 2222121120