Search a number
-
+
161620200 = 2332527101127
BaseRepresentation
bin10011010001000…
…10000011101000
3102021010011020100
421220202003220
5312333321300
624012025400
74001514630
oct1150420350
9367104210
10161620200
1183259715
1246162260
132763a071
14176716c0
15e2c7700
hex9a220e8

161620200 has 288 divisors, whose sum is σ = 631388160. Its totient is φ = 36288000.

The previous prime is 161620163. The next prime is 161620201. The reversal of 161620200 is 2026161.

It is a happy number.

It is a super-2 number, since 2×1616202002 = 52242178096080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (161620201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1272537 + ... + 1272663.

It is an arithmetic number, because the mean of its divisors is an integer number (2192320).

Almost surely, 2161620200 is an apocalyptic number.

161620200 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 161620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315694080).

161620200 is an abundant number, since it is smaller than the sum of its proper divisors (469767960).

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

161620200 is a wasteful number, since it uses less digits than its factorization.

161620200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161620200 is about 12712.9933532587. The cubic root of 161620200 is about 544.7098306656.

Adding to 161620200 its reverse (2026161), we get a palindrome (163646361).

The spelling of 161620200 in words is "one hundred sixty-one million, six hundred twenty thousand, two hundred".