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161998900 = 2252734723
BaseRepresentation
bin10011010011111…
…10100000110100
3102021211101201021
421221332200310
5312432431100
624024110524
74004653000
oct1151764064
9367741637
10161998900
1183498198
1246305444
132774054b
141772d700
15e34ea1a
hex9a7e834

161998900 has 72 divisors (see below), whose sum is σ = 410043200. Its totient is φ = 55530720.

The previous prime is 161998877. The next prime is 161998919. The reversal of 161998900 is 9899161.

161998900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31939 + ... + 36661.

Almost surely, 2161998900 is an apocalyptic number.

161998900 is a gapful number since it is divisible by the number (10) 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 161998900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205021600).

161998900 is an abundant number, since it is smaller than the sum of its proper divisors (248044300).

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

161998900 is a wasteful number, since it uses less digits than its factorization.

161998900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 161998900 is about 12727.8788492034. The cubic root of 161998900 is about 545.1349439995.

The spelling of 161998900 in words is "one hundred sixty-one million, nine hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4723 4900 6860 8575 9446 17150 18892 23615 33061 34300 47230 66122 94460 118075 132244 165305 231427 236150 330610 462854 472300 661220 826525 925708 1157135 1619989 1653050 2314270 3239978 3306100 4628540 5785675 6479956 8099945 11571350 16199890 23142700 32399780 40499725 80999450 161998900