Search a number
-
+
223000002131310 = 23253766966967607
BaseRepresentation
bin110010101101000100111011…
…111010010111010101101110
31002020120120222120101010021200
4302231010323322113111232
5213212113001021200220
62110140441532510330
764654134636611325
oct6255047372272556
91066516876333250
10223000002131310
1165066851672378
1221016a8961b3a6
139757a6b66a931
143d0d3871710bc
151abab1d93a890
hexcad13be9756e

223000002131310 has 48 divisors (see below), whose sum is σ = 595470275970336. Its totient is φ = 57859460011584.

The previous prime is 223000002131287. The next prime is 223000002131327. The reversal of 223000002131310 is 13131200000322.

223000002131310 is a `hidden beast` number, since 2 + 2 + 300 + 0 + 0 + 0 + 21 + 31 + 310 = 666.

It is a super-2 number, since 2×2230000021313102 (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 33483480474 + ... + 33483487133.

It is an arithmetic number, because the mean of its divisors is an integer number (12405630749382).

Almost surely, 2223000002131310 is an apocalyptic number.

223000002131310 is an abundant number, since it is smaller than the sum of its proper divisors (372470273839026).

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

223000002131310 is a wasteful number, since it uses less digits than its factorization.

223000002131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66966967657 (or 66966967654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223000002131310 its reverse (13131200000322), we get a palindrome (236131202131632).

The spelling of 223000002131310 in words is "two hundred twenty-three trillion, two million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 66966967607 133933935214 200900902821 334834838035 401801805642 602702708463 669669676070 1004504514105 1205405416926 2009009028210 2477777801459 3013513542315 4955555602918 6027027084630 7433333404377 12388889007295 14866666808754 22300000213131 24777778014590 37166667021885 44600000426262 74333334043770 111500001065655 223000002131310