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2206104340 = 22511231572777
BaseRepresentation
bin1000001101111110…
…0111101100010100
312200202011201020011
42003133213230110
514004230314330
61002524250004
7105445402036
oct20337475424
95622151204
102206104340
11a32319930
125169a0904
1329208acab
1416cdc9c56
15cda2582a
hex837e7b14

2206104340 has 96 divisors (see below), whose sum is σ = 5309224704. Its totient is φ = 762178560.

The previous prime is 2206104337. The next prime is 2206104349. The reversal of 2206104340 is 434016022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206104349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793032 + ... + 795808.

It is an arithmetic number, because the mean of its divisors is an integer number (55304424).

Almost surely, 22206104340 is an apocalyptic number.

2206104340 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 2206104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654612352).

2206104340 is an abundant number, since it is smaller than the sum of its proper divisors (3103120364).

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

2206104340 is a wasteful number, since it uses less digits than its factorization.

2206104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2206104340 is about 46969.1850046389. The cubic root of 2206104340 is about 1301.7932530145.

The spelling of 2206104340 in words is "two billion, two hundred six million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 157 220 230 253 314 460 506 628 785 1012 1265 1570 1727 2530 2777 3140 3454 3611 5060 5554 6908 7222 8635 11108 13885 14444 17270 18055 27770 30547 34540 36110 39721 55540 61094 63871 72220 79442 122188 127742 152735 158884 198605 255484 305470 319355 397210 435989 610940 638710 702581 794420 871978 1277420 1405162 1743956 2179945 2810324 3512905 4359890 4795879 7025810 8719780 9591758 10027747 14051620 19183516 20055494 23979395 40110988 47958790 50138735 95917580 100277470 110305217 200554940 220610434 441220868 551526085 1103052170 2206104340