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198351828 = 22345771061
BaseRepresentation
bin10111101001010…
…01101111010100
3111211020022120000
423310221233110
5401234224303
631403211300
74625651133
oct1364515724
9454208500
10198351828
11a1a67734
1256516b30
133212b05c
141c4b391a
1512630da3
hexbd29bd4

198351828 has 60 divisors (see below), whose sum is σ = 519919092. Its totient is φ = 65940480.

The previous prime is 198351821. The next prime is 198351833. The reversal of 198351828 is 828153891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 174556944 + 23794884 = 13212^2 + 4878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198351821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186418 + ... + 187478.

Almost surely, 2198351828 is an apocalyptic number.

198351828 is a gapful number since it is divisible by the number (18) 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 198351828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259959546).

198351828 is an abundant number, since it is smaller than the sum of its proper divisors (321567264).

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

198351828 is a wasteful number, since it uses less digits than its factorization.

198351828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1643 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 198351828 is about 14083.7433944247. The cubic root of 198351828 is about 583.1926864906.

The spelling of 198351828 in words is "one hundred ninety-eight million, three hundred fifty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 577 1061 1154 1731 2122 2308 3183 3462 4244 5193 6366 6924 9549 10386 12732 15579 19098 20772 28647 31158 38196 46737 57294 62316 85941 93474 114588 171882 186948 343764 612197 1224394 1836591 2448788 3673182 5509773 7346364 11019546 16529319 22039092 33058638 49587957 66117276 99175914 198351828