Search a number
-
+
198191350 = 2527737757
BaseRepresentation
bin10111101000000…
…10100011110110
3111210221011102101
423310002203312
5401214110400
631355532314
74624412230
oct1364024366
9453834371
10198191350
11a1968105
125645a09a
13320a2cb6
141c471250
15125ed56a
hexbd028f6

198191350 has 48 divisors (see below), whose sum is σ = 427124448. Its totient is φ = 67011840.

The previous prime is 198191333. The next prime is 198191359. The reversal of 198191350 is 53191891.

It is a happy number.

198191350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1981913502 = 78559622429645000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198191359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21672 + ... + 29428.

It is an arithmetic number, because the mean of its divisors is an integer number (8898426).

Almost surely, 2198191350 is an apocalyptic number.

198191350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198191350 is an abundant number, since it is smaller than the sum of its proper divisors (228933098).

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

198191350 is a wasteful number, since it uses less digits than its factorization.

198191350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 37.

The square root of 198191350 is about 14078.0449637015. The cubic root of 198191350 is about 583.0353652834.

The spelling of 198191350 in words is "one hundred ninety-eight million, one hundred ninety-one thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 73 146 175 350 365 511 730 1022 1825 2555 3650 5110 7757 12775 15514 25550 38785 54299 77570 108598 193925 271495 387850 542990 566261 1132522 1357475 2714950 2831305 3963827 5662610 7927654 14156525 19819135 28313050 39638270 99095675 198191350