Search a number
-
+
200233223100 = 223452291974327
BaseRepresentation
bin1011101001111011010…
…1001000001110111100
3201010211121010122110000
42322132311020032330
511240034201114400
6231552540514300
720315652212511
oct2723665101674
9633747118400
10200233223100
1177a11486169
123298184b990
1315b60739501
149997071308
15531db92600
hex2e9ed483bc

200233223100 has 360 divisors, whose sum is σ = 675023358240. Its totient is φ = 51280750080.

The previous prime is 200233223089. The next prime is 200233223117. The reversal of 200233223100 is 1322332002.

It is a happy number.

200233223100 is a `hidden beast` number, since 20 + 0 + 2 + 332 + 2 + 310 + 0 = 666.

It is a super-2 number, since 2×2002332231002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46273137 + ... + 46277463.

It is an arithmetic number, because the mean of its divisors is an integer number (1875064884).

Almost surely, 2200233223100 is an apocalyptic number.

200233223100 is a gapful number since it is divisible by the number (20) 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 200233223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337511679120).

200233223100 is an abundant number, since it is smaller than the sum of its proper divisors (474790135140).

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

200233223100 is a wasteful number, since it uses less digits than its factorization.

200233223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200233223100 its reverse (1322332002), we get a palindrome (201555555102).

The spelling of 200233223100 in words is "two hundred billion, two hundred thirty-three million, two hundred twenty-three thousand, one hundred".