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2212022912 = 271111313903
BaseRepresentation
bin1000001111011000…
…1100101010000000
312201011022101222112
42003312030222000
514012234213122
61003255154452
7105546612251
oct20366145200
95634271875
102212022912
11a356a1610
12518975a28
13293380bc8
1416dacab28
15ce2e42e2
hex83d8ca80

2212022912 has 64 divisors (see below), whose sum is σ = 4850271360. Its totient is φ = 996495360.

The previous prime is 2212022909. The next prime is 2212022927. The reversal of 2212022912 is 2192202122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152153 + ... + 166055.

It is an arithmetic number, because the mean of its divisors is an integer number (75785490).

Almost surely, 22212022912 is an apocalyptic number.

2212022912 is a gapful number since it is divisible by the number (22) 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 2212022912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425135680).

2212022912 is an abundant number, since it is smaller than the sum of its proper divisors (2638248448).

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

2212022912 is a wasteful number, since it uses less digits than its factorization.

2212022912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14041 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2212022912 is about 47032.1476439254. The cubic root of 2212022912 is about 1302.9563707420.

The spelling of 2212022912 in words is "two billion, two hundred twelve million, twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 352 452 704 904 1243 1408 1808 2486 3616 4972 7232 9944 13903 14464 19888 27806 39776 55612 79552 111224 152933 159104 222448 305866 444896 611732 889792 1223464 1571039 1779584 2446928 3142078 4893856 6284156 9787712 12568312 17281429 19575424 25136624 34562858 50273248 69125716 100546496 138251432 201092992 276502864 553005728 1106011456 2212022912