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14182100922 = 23119712717443
BaseRepresentation
bin11010011010101000…
…11010111110111010
31100121101010101002010
431031110122332322
5213021104212142
610303135350350
71011305604003
oct151524327672
940541111063
1014182100922
116018476370
1228b96823b6
13145026a0c2
1498775a1aa
15580103e9c
hex34d51afba

14182100922 has 64 divisors (see below), whose sum is σ = 31509725184. Its totient is φ = 4219568640.

The previous prime is 14182100899. The next prime is 14182100923. The reversal of 14182100922 is 22900128141.

It is a happy number.

It is a super-2 number, since 2×141821009222 (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 14182100922.

It is not an unprimeable number, because it can be changed into a prime (14182100923) 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, 804333 + ... + 821775.

It is an arithmetic number, because the mean of its divisors is an integer number (492339456).

Almost surely, 214182100922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14182100922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754862592).

14182100922 is an abundant number, since it is smaller than the sum of its proper divisors (17327624262).

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

14182100922 is a wasteful number, since it uses less digits than its factorization.

14182100922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 14182100922 in words is "fourteen billion, one hundred eighty-two million, one hundred thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 97 127 194 254 291 381 582 762 1067 1397 2134 2794 3201 4191 6402 8382 12319 17443 24638 34886 36957 52329 73914 104658 135509 191873 271018 383746 406527 575619 813054 1151238 1691971 2215261 3383942 4430522 5075913 6645783 10151826 13291566 18611681 24367871 37223362 48735742 55835043 73103613 111670086 146207226 214880317 429760634 644640951 1289281902 2363683487 4727366974 7091050461 14182100922