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219418811940 = 22354122175479
BaseRepresentation
bin1100110001011001100…
…0010101111000100100
3202222100200012112121110
43030112120111320210
512043332203440230
6244444414345020
721565255062036
oct3142630257044
9688320175543
10219418811940
1185067221009
1236636abb170
13178ca486943
14a897119c56
155a9318b4b0
hex3316615e24

219418811940 has 72 divisors (see below), whose sum is σ = 629723142720. Its totient is φ = 57084542720.

The previous prime is 219418811939. The next prime is 219418811959. The reversal of 219418811940 is 49118814912.

It is a super-2 number, since 2×2194188119402 (a number of 23 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 219418811940.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 986880 + ... + 1188599.

It is an arithmetic number, because the mean of its divisors is an integer number (8746154760).

Almost surely, 2219418811940 is an apocalyptic number.

219418811940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219418811940 is an abundant number, since it is smaller than the sum of its proper divisors (410304330780).

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

219418811940 is a wasteful number, since it uses less digits than its factorization.

219418811940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175573 (or 2175530 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 219418811940 in words is "two hundred nineteen billion, four hundred eighteen million, eight hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1681 2460 3362 5043 6724 8405 10086 16810 20172 25215 33620 50430 100860 2175479 4350958 6526437 8701916 10877395 13052874 21754790 26105748 32632185 43509580 65264370 89194639 130528740 178389278 267583917 356778556 445973195 535167834 891946390 1070335668 1337919585 1783892780 2675839170 3656980199 5351678340 7313960398 10970940597 14627920796 18284900995 21941881194 36569801990 43883762388 54854702985 73139603980 109709405970 219418811940