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2206266340 = 2253710692789
BaseRepresentation
bin1000001110000000…
…1111001111100100
312200202110221110011
42003200033033210
514004301010330
61002531540004
7105446645245
oct20340171744
95622427404
102206266340
11a3241a613
12516a5a604
13292116955
1416d02cccc
15cda5882a
hex8380f3e4

2206266340 has 48 divisors (see below), whose sum is σ = 4764538800. Its totient is φ = 857544192.

The previous prime is 2206266323. The next prime is 2206266343. The reversal of 2206266340 is 436626022.

It can be written as a sum of positive squares in 8 ways, for example, as 91738084 + 2114528256 = 9578^2 + 45984^2 .

It is a super-2 number, since 2×22062663402 = 9735222326033991200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2206266343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789666 + ... + 792454.

It is an arithmetic number, because the mean of its divisors is an integer number (99261225).

Almost surely, 22206266340 is an apocalyptic number.

2206266340 is a gapful number since it is divisible by the number (20) 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 2206266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382269400).

2206266340 is an abundant number, since it is smaller than the sum of its proper divisors (2558272460).

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

2206266340 is a wasteful number, since it uses less digits than its factorization.

2206266340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2206266340 is about 46970.9095079071. The cubic root of 2206266340 is about 1301.8251169267.

The spelling of 2206266340 in words is "two billion, two hundred six million, two hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1069 2138 2789 4276 5345 5578 10690 11156 13945 21380 27890 39553 55780 79106 103193 158212 197765 206386 395530 412772 515965 791060 1031930 2063860 2981441 5962882 11925764 14907205 29814410 59628820 110313317 220626634 441253268 551566585 1103133170 2206266340