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194858420 = 225172772069
BaseRepresentation
bin10111001110101…
…00110110110100
3111120122211111112
423213110312310
5344340432140
631200254152
74554161231
oct1347246664
9446584445
10194858420
119aaa1019
1255311358
13314a6c53
141bc44788
1512190c65
hexb9d4db4

194858420 has 48 divisors (see below), whose sum is σ = 435047760. Its totient is φ = 73058304.

The previous prime is 194858407. The next prime is 194858431. The reversal of 194858420 is 24858491.

It can be written as a sum of positive squares in 8 ways, for example, as 16048036 + 178810384 = 4006^2 + 13372^2 .

It is a congruent number.

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, 93146 + ... + 95214.

It is an arithmetic number, because the mean of its divisors is an integer number (9063495).

Almost surely, 2194858420 is an apocalyptic number.

194858420 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 194858420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217523880).

194858420 is an abundant number, since it is smaller than the sum of its proper divisors (240189340).

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

194858420 is a wasteful number, since it uses less digits than its factorization.

194858420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 194858420 is about 13959.1697460845. The cubic root of 194858420 is about 579.7486227352.

The spelling of 194858420 in words is "one hundred ninety-four million, eight hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 277 340 554 1108 1385 2069 2770 4138 4709 5540 8276 9418 10345 18836 20690 23545 35173 41380 47090 70346 94180 140692 175865 351730 573113 703460 1146226 2292452 2865565 5731130 9742921 11462260 19485842 38971684 48714605 97429210 194858420