Search a number
-
+
223112300202 = 23611151181509
BaseRepresentation
bin1100111111001010000…
…1111000011010101010
3210022220002011012000000
43033302201320122222
512123413222101302
6250255114523430
722055634155301
oct3176241703252
9708802135000
10223112300202
1186692093450
12372a7a36576
131806873a65c
14ab27883438
155c0c56831c
hex33f28786aa

223112300202 has 224 divisors, whose sum is σ = 555146766720. Its totient is φ = 66659760000.

The previous prime is 223112300161. The next prime is 223112300221. The reversal of 223112300202 is 202003211322.

223112300202 is a `hidden beast` number, since 2 + 231 + 1 + 230 + 0 + 202 = 666.

It is a super-3 number, since 3×2231123002023 (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 438334324 + ... + 438334832.

It is an arithmetic number, because the mean of its divisors is an integer number (2478333780).

Almost surely, 2223112300202 is an apocalyptic number.

223112300202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223112300202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277573383360).

223112300202 is an abundant number, since it is smaller than the sum of its proper divisors (332034466518).

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

223112300202 is a wasteful number, since it uses less digits than its factorization.

223112300202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223112300202 its reverse (202003211322), we get a palindrome (425115511524).

The spelling of 223112300202 in words is "two hundred twenty-three billion, one hundred twelve million, three hundred thousand, two hundred two".