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198401984 = 2611319091
BaseRepresentation
bin10111101001101…
…01111111000000
3111211022212100122
423310311333000
5401242330414
631404235412
74626250304
oct1364657700
9454285318
10198401984
11a1aa1390
125653bb68
1332147b31
141c4c7d04
1512640b8e
hexbd35fc0

198401984 has 56 divisors (see below), whose sum is σ = 443398656. Its totient is φ = 87264000.

The previous prime is 198401981. The next prime is 198402007. The reversal of 198401984 is 489104891.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198401981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17279 + ... + 26369.

Almost surely, 2198401984 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 198401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221699328).

198401984 is an abundant number, since it is smaller than the sum of its proper divisors (244996672).

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

198401984 is a wasteful number, since it uses less digits than its factorization.

198401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9145 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 198401984 is about 14085.5239164186. The cubic root of 198401984 is about 583.2418384572.

The spelling of 198401984 in words is "one hundred ninety-eight million, four hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 9091 10912 18182 21824 36364 72728 100001 145456 200002 281821 290912 400004 563642 581824 800008 1127284 1600016 2254568 3100031 3200032 4509136 6200062 6400064 9018272 12400124 18036544 24800248 49600496 99200992 198401984