Search a number
-
+
223233323220 = 223353712299091
BaseRepresentation
bin1100111111100110111…
…1100011000011010100
3210100012111212210101000
43033321233203003110
512124140212320340
6250315120503300
722061633640135
oct3177157430324
9710174783330
10223233323220
1186744433876
123732047ab30
13180878320cb
14ab39987c8c
155c17ec1d30
hex33f9be30d4

223233323220 has 192 divisors, whose sum is σ = 713932934400. Its totient is φ = 57866503680.

The previous prime is 223233323191. The next prime is 223233323237. The reversal of 223233323220 is 22323332322.

223233323220 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 332 + 322 + 0 = 666.

It is a super-3 number, since 3×2232333232203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24550875 + ... + 24559965.

It is an arithmetic number, because the mean of its divisors is an integer number (3718400700).

Almost surely, 2223233323220 is an apocalyptic number.

223233323220 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 223233323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356966467200).

223233323220 is an abundant number, since it is smaller than the sum of its proper divisors (490699611180).

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

223233323220 is a wasteful number, since it uses less digits than its factorization.

223233323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 223233323220 its reverse (22323332322), we get a palindrome (245556655542).

The spelling of 223233323220 in words is "two hundred twenty-three billion, two hundred thirty-three million, three hundred twenty-three thousand, two hundred twenty".