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2203091968 = 21071127941
BaseRepresentation
bin1000001101010000…
…1000010000000000
312200112111200000211
42003110020100000
514002442420333
61002335523504
7105410654440
oct20324102000
95615450024
102203091968
11a30651670
12515989594
13291574b1c
1416c844120
15cd62cecd
hex83508400

2203091968 has 88 divisors (see below), whose sum is σ = 5490938304. Its totient is φ = 858316800.

The previous prime is 2203091953. The next prime is 2203091993. The reversal of 2203091968 is 8691903022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×22030919682 = 9707228438932226048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2203091968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64878 + ... + 92818.

Almost surely, 22203091968 is an apocalyptic number.

2203091968 is a gapful number since it is divisible by the number (28) 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 2203091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745469152).

2203091968 is an abundant number, since it is smaller than the sum of its proper divisors (3287846336).

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

2203091968 is a wasteful number, since it uses less digits than its factorization.

2203091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27979 (or 27961 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 2203091968 is about 46937.1065149951. The cubic root of 2203091968 is about 1301.2004627097.

The spelling of 2203091968 in words is "two billion, two hundred three million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2464 2816 3584 4928 5632 7168 9856 11264 19712 27941 39424 55882 78848 111764 195587 223528 307351 391174 447056 614702 782348 894112 1229404 1564696 1788224 2151457 2458808 3129392 3576448 4302914 4917616 6258784 7152896 8605828 9835232 12517568 14305792 17211656 19670464 25035136 28611584 34423312 39340928 50070272 68846624 78681856 100140544 137693248 157363712 200281088 275386496 314727424 550772992 1101545984 2203091968