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194922640 = 24511359617
BaseRepresentation
bin10111001111001…
…00100010010000
3111120210002121001
423213210202100
5344400011030
631201511344
74554546403
oct1347444220
9446702531
10194922640
11a00352a0
1255342554
13314ca253
141bc5dd3a
15121a4cca
hexb9e4890

194922640 has 80 divisors (see below), whose sum is σ = 496575360. Its totient is φ = 70568960.

The previous prime is 194922617. The next prime is 194922647. The reversal of 194922640 is 46229491.

It is a happy number.

194922640 is a nontrivial binomial coefficient, being equal to C(19745, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 194922640.

It is not an unprimeable number, because it can be changed into a prime (194922647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315612 + ... + 316228.

It is an arithmetic number, because the mean of its divisors is an integer number (6207192).

Almost surely, 2194922640 is an apocalyptic number.

194922640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

194922640 is the 19744-th triangular number.

194922640 is the 6582-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194922640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248287680).

194922640 is an abundant number, since it is smaller than the sum of its proper divisors (301652720).

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

194922640 is a wasteful number, since it uses less digits than its factorization.

194922640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 194922640 is about 13961.4698366612. The cubic root of 194922640 is about 579.8123054972.

The spelling of 194922640 in words is "one hundred ninety-four million, nine hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 359 440 617 718 880 1234 1436 1795 2468 2872 3085 3590 3949 4936 5744 6170 6787 7180 7898 9872 12340 13574 14360 15796 19745 24680 27148 28720 31592 33935 39490 49360 54296 63184 67870 78980 108592 135740 157960 221503 271480 315920 443006 542960 886012 1107515 1772024 2215030 2436533 3544048 4430060 4873066 8860120 9746132 12182665 17720240 19492264 24365330 38984528 48730660 97461320 194922640