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198116772 = 22378872659
BaseRepresentation
bin10111100111100…
…00010110100100
3111210210101010020
423303300112210
5401204214042
631354155140
74623651630
oct1363602644
9453711106
10198116772
11a1917077
1256422ab0
1332078079
141c451dc0
15125d63ec
hexbcf05a4

198116772 has 48 divisors (see below), whose sum is σ = 529105920. Its totient is φ = 56519712.

The previous prime is 198116761. The next prime is 198116773. The reversal of 198116772 is 277611891.

198116772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (198116773) 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, 73179 + ... + 75837.

It is an arithmetic number, because the mean of its divisors is an integer number (11023040).

Almost surely, 2198116772 is an apocalyptic number.

198116772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198116772 is an abundant number, since it is smaller than the sum of its proper divisors (330989148).

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

198116772 is a wasteful number, since it uses less digits than its factorization.

198116772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3558 counting only the distinct ones).

The product of its digits is 42336, while the sum is 42.

The square root of 198116772 is about 14075.3959802202. The cubic root of 198116772 is about 582.9622254171.

The spelling of 198116772 in words is "one hundred ninety-eight million, one hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 887 1774 2659 2661 3548 5318 5322 6209 7977 10636 10644 12418 15954 18613 18627 24836 31908 37226 37254 55839 74452 74508 111678 223356 2358533 4717066 7075599 9434132 14151198 16509731 28302396 33019462 49529193 66038924 99058386 198116772