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2206197656 = 231327732111
BaseRepresentation
bin1000001101111111…
…1110011110011000
312200202100110020022
42003133332132120
514004241311111
61002530250012
7105446241065
oct20337763630
95622313208
102206197656
11a32382a53
12516a26908
132920c1600
1416d011c6c
15cda432db
hex837fe798

2206197656 has 48 divisors (see below), whose sum is σ = 4487218560. Its totient is φ = 1016446080.

The previous prime is 2206197629. The next prime is 2206197667. The reversal of 2206197656 is 6567916022.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1044041 + ... + 1046151.

It is an arithmetic number, because the mean of its divisors is an integer number (93483720).

Almost surely, 22206197656 is an apocalyptic number.

2206197656 is a gapful number since it is divisible by the number (26) 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 2206197656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243609280).

2206197656 is an abundant number, since it is smaller than the sum of its proper divisors (2281020904).

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

2206197656 is a wasteful number, since it uses less digits than its factorization.

2206197656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 2206197656 is about 46970.1783688331. The cubic root of 2206197656 is about 1301.8116076052.

The spelling of 2206197656 in words is "two billion, two hundred six million, one hundred ninety-seven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 773 1352 1546 2111 3092 4222 6184 8444 10049 16888 20098 27443 40196 54886 80392 109772 130637 219544 261274 356759 522548 713518 1045096 1427036 1631803 2854072 3263606 6527212 13054424 21213439 42426878 84853756 169707512 275774707 551549414 1103098828 2206197656