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194946440 = 235132331609
BaseRepresentation
bin10111001111010…
…10010110001000
3111120211022020112
423213222112020
5344401241230
631202213452
74555005653
oct1347522610
9446738215
10194946440
11a0051167
1255354288
1331508030
141bc6889a
15121abd95
hexb9ea588

194946440 has 64 divisors (see below), whose sum is σ = 474692400. Its totient is φ = 71626752.

The previous prime is 194946421. The next prime is 194946457. The reversal of 194946440 is 44649491.

It is a happy number.

194946440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 76702564 + 118243876 = 8758^2 + 10874^2 .

It is a super-2 number, since 2×1949464402 = 76008228937347200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120356 + ... + 121964.

Almost surely, 2194946440 is an apocalyptic number.

194946440 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 194946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237346200).

194946440 is an abundant number, since it is smaller than the sum of its proper divisors (279745960).

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

194946440 is a wasteful number, since it uses less digits than its factorization.

194946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 194946440 is about 13962.3221564323. The cubic root of 194946440 is about 579.8359028438.

The spelling of 194946440 in words is "one hundred ninety-four million, nine hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1609 1864 2330 3029 3218 4660 6058 6436 8045 9320 12116 12872 15145 16090 20917 24232 30290 32180 41834 60580 64360 83668 104585 121160 167336 209170 374897 418340 749794 836680 1499588 1874485 2999176 3748970 4873661 7497940 9747322 14995880 19494644 24368305 38989288 48736610 97473220 194946440