Search a number
-
+
998233164 = 2232534431181
BaseRepresentation
bin111011011111111…
…101010001001100
32120120100111110200
4323133331101030
54021021430124
6243015333500
733510561525
oct7337752114
92516314420
10998233164
11472527395
1223a381290
1312ba6bc16
149680b84c
155c982bc9
hex3b7fd44c

998233164 has 72 divisors (see below), whose sum is σ = 2578906512. Its totient is φ = 325453440.

The previous prime is 998233163. The next prime is 998233169. The reversal of 998233164 is 461332899.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (998233163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844654 + ... + 845834.

It is an arithmetic number, because the mean of its divisors is an integer number (35818146).

Almost surely, 2998233164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998233164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289453256).

998233164 is an abundant number, since it is smaller than the sum of its proper divisors (1580673348).

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

998233164 is a wasteful number, since it uses less digits than its factorization.

998233164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1682 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 998233164 is about 31594.8281210707. The cubic root of 998233164 is about 999.4107074692.

The spelling of 998233164 in words is "nine hundred ninety-eight million, two hundred thirty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 443 477 636 886 954 1181 1329 1772 1908 2362 2658 3543 3987 4724 5316 7086 7974 10629 14172 15948 21258 23479 42516 46958 62593 70437 93916 125186 140874 187779 211311 250372 281748 375558 422622 523183 563337 751116 845244 1046366 1126674 1569549 2092732 2253348 3139098 4708647 6278196 9417294 18834588 27728699 55457398 83186097 110914796 166372194 249558291 332744388 499116582 998233164