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2706440022 = 23211132292789
BaseRepresentation
bin1010000101010000…
…1111111101010110
320222121122101202100
42201110033331112
521020322040042
61124320222530
7124032234456
oct24124177526
96877571670
102706440022
1111697954a0
1263646aa46
1334192cb00
141b962bd66
1510c90824c
hexa150ff56

2706440022 has 144 divisors (see below), whose sum is σ = 7168402800. Its totient is φ = 730679040.

The previous prime is 2706440021. The next prime is 2706440029. The reversal of 2706440022 is 2200446072.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706440021) 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 71 ways as a sum of consecutive naturals, for example, 969004 + ... + 971792.

It is an arithmetic number, because the mean of its divisors is an integer number (49780575).

Almost surely, 22706440022 is an apocalyptic number.

2706440022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706440022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584201400).

2706440022 is an abundant number, since it is smaller than the sum of its proper divisors (4461962778).

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

2706440022 is a wasteful number, since it uses less digits than its factorization.

2706440022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2706440022 is about 52023.4564595625. The cubic root of 2706440022 is about 1393.5828796998.

Adding to 2706440022 its reverse (2200446072), we get a palindrome (4906886094).

The spelling of 2706440022 in words is "two billion, seven hundred six million, four hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 169 174 198 234 261 286 319 338 377 429 507 522 638 754 858 957 1014 1131 1287 1521 1859 1914 2262 2574 2789 2871 3042 3393 3718 4147 4901 5577 5578 5742 6786 8294 8367 9802 11154 12441 14703 16731 16734 24882 25101 29406 30679 33462 36257 37323 44109 50202 53911 61358 72514 74646 80881 88218 92037 107822 108771 161733 161762 184074 217542 242643 276111 323466 326313 398827 471341 485199 485286 552222 652626 727929 797654 889691 942682 970398 1051453 1196481 1414023 1455858 1779382 2102906 2392962 2669073 2828046 3154359 3589443 4242069 5184751 5338146 6308718 7178886 8007219 8484138 9463077 10369502 11565983 13668889 15554253 16014438 18926154 23131966 27337778 31108506 34697949 41006667 46662759 69395898 82013334 93325518 104093847 123020001 150357779 208187694 246040002 300715558 451073337 902146674 1353220011 2706440022