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222001211120 = 24513213462703
BaseRepresentation
bin1100111011000001001…
…1011010011011110000
3210020000122110000022112
43032300103122123300
512114124302223440
6245552544224452
722016253105443
oct3166023323360
9706018400275
10222001211120
1186171994807
123703790b128
1317c1c4a64b0
14aa6009965a
155b94c41965
hex33b04da6f0

222001211120 has 40 divisors (see below), whose sum is σ = 555856881216. Its totient is φ = 81969677568.

The previous prime is 222001211119. The next prime is 222001211123. The reversal of 222001211120 is 21112100222.

222001211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 222001211095 and 222001211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222001211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106730312 + ... + 106732391.

Almost surely, 2222001211120 is an apocalyptic number.

222001211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222001211120 is an abundant number, since it is smaller than the sum of its proper divisors (333855670096).

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

222001211120 is a wasteful number, since it uses less digits than its factorization.

222001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213462729 (or 213462723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222001211120 its reverse (21112100222), we get a palindrome (243113311342).

The spelling of 222001211120 in words is "two hundred twenty-two billion, one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 213462703 426925406 853850812 1067313515 1707701624 2134627030 2775015139 3415403248 4269254060 5550030278 8538508120 11100060556 13875075695 17077016240 22200121112 27750151390 44400242224 55500302780 111000605560 222001211120