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10322214540 = 22351117390403
BaseRepresentation
bin10011001110100000…
…00111111010001100
3222122101001211101020
421213100013322030
5132114441331130
64424132514140
7513536242641
oct114720077214
928571054336
1010322214540
114417691620
122000a7b950
13c86695671
146dcc79dc8
15406308e10
hex267407e8c

10322214540 has 96 divisors (see below), whose sum is σ = 31712276736. Its totient is φ = 2487863040.

The previous prime is 10322214523. The next prime is 10322214541. The reversal of 10322214540 is 4541222301.

It is a super-2 number, since 2×103222145402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10322214540.

It is not an unprimeable number, because it can be changed into a prime (10322214541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68979 + ... + 159381.

It is an arithmetic number, because the mean of its divisors is an integer number (330336216).

Almost surely, 210322214540 is an apocalyptic number.

10322214540 is a gapful number since it is divisible by the number (10) 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 10322214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856138368).

10322214540 is an abundant number, since it is smaller than the sum of its proper divisors (21390062196).

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

10322214540 is a wasteful number, since it uses less digits than its factorization.

10322214540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90599 (or 90597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10322214540 its reverse (4541222301), we get a palindrome (14863436841).

The spelling of 10322214540 in words is "ten billion, three hundred twenty-two million, two hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 9515 10380 11418 19030 22836 28545 38060 57090 90403 114180 180806 271209 361612 452015 542418 904030 994433 1084836 1356045 1808060 1988866 2712090 2983299 3977732 4972165 5424180 5966598 9944330 11933196 14916495 15639719 19888660 29832990 31279438 46919157 59665980 62558876 78198595 93838314 156397190 172036909 187676628 234595785 312794380 344073818 469191570 516110727 688147636 860184545 938383140 1032221454 1720369090 2064442908 2580553635 3440738180 5161107270 10322214540