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830742198 = 2311213234389
BaseRepresentation
bin110001100001000…
…001111010110110
32010220012002001120
4301201001322312
53200132222243
6214233404410
726405122626
oct6141017266
92126162046
10830742198
11396a28a00
121b2269706
13103157940
147c48c886
154cdeac83
hex31841eb6

830742198 has 192 divisors, whose sum is σ = 2123573760. Its totient is φ = 214663680.

The previous prime is 830742197. The next prime is 830742203. The reversal of 830742198 is 891247038.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830742197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9334138 + ... + 9334226.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2830742198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830742198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061786880).

830742198 is an abundant number, since it is smaller than the sum of its proper divisors (1292831562).

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

830742198 is a wasteful number, since it uses less digits than its factorization.

830742198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 830742198 is about 28822.5987377960. The cubic root of 830742198 is about 940.0596755535.

It can be divided in two parts, 8307 and 42198, that added together give a palindrome (50505).

The spelling of 830742198 in words is "eight hundred thirty million, seven hundred forty-two thousand, one hundred ninety-eight".