Search a number
-
+
223021031312232 = 23324337153612757
BaseRepresentation
bin110010101101011000100001…
…010110010100101101101000
31002020122121021010111012100100
4302231120201112110231220
5213212434033003442412
62110154240345105400
764655511026653566
oct6255304126245550
91066577233435310
10223021031312232
116507476303623a
122101ab78188260
139759a4032b95a
143d103bdddca36
151abb44ebededc
hexcad621594b68

223021031312232 has 48 divisors (see below), whose sum is σ = 605410247709540. Its totient is φ = 74168657054208.

The previous prime is 223021031312221. The next prime is 223021031312267. The reversal of 223021031312232 is 232213130120322.

223021031312232 is a `hidden beast` number, since 2 + 2 + 302 + 1 + 0 + 3 + 131 + 223 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220226965282116 + 2794066030116 = 14840046^2 + 1671546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 223021031312196 and 223021031312205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3576775203 + ... + 3576837554.

Almost surely, 2223021031312232 is an apocalyptic number.

It is an amenable number.

223021031312232 is an abundant number, since it is smaller than the sum of its proper divisors (382389216397308).

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

223021031312232 is a wasteful number, since it uses less digits than its factorization.

223021031312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153613202 (or 7153613195 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223021031312232 its reverse (232213130120322), we get a palindrome (455234161432554).

The spelling of 223021031312232 in words is "two hundred twenty-three trillion, twenty-one billion, thirty-one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 433 866 1299 1732 2598 3464 3897 5196 7794 10392 15588 31176 7153612757 14307225514 21460838271 28614451028 42921676542 57228902056 64382514813 85843353084 128765029626 171686706168 257530059252 515060118504 3097514323781 6195028647562 9292542971343 12390057295124 18585085942686 24780114590248 27877628914029 37170171885372 55755257828058 74340343770744 111510515656116 223021031312232