Search a number
-
+
223090624512 = 2113274712
BaseRepresentation
bin1100111111000100111…
…1001100100000000000
3210022211120100221112200
43033301033030200000
512123342144441022
6250253022153200
722055252010000
oct3176117144000
9708746327480
10223090624512
1186680929158
12372a0722800
13180640bb5c2
14ab24a40000
155c0a6d5bac
hex33f13cc800

223090624512 has 540 divisors, whose sum is σ = 762405744555. Its totient is φ = 62842429440.

The previous prime is 223090624511. The next prime is 223090624513. The reversal of 223090624512 is 215426090322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223090624512 is a `hidden beast` number, since 2 + 2 + 30 + 90 + 6 + 24 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (223090624511) and next prime (223090624513).

It can be written as a sum of positive squares in only one way, i.e., 111545312256 + 111545312256 = 333984^2 + 333984^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333984.

It is a super-3 number, since 3×2230906245123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (223090624511) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3142121437 + ... + 3142121507.

Almost surely, 2223090624512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223090624512

223090624512 is an abundant number, since it is smaller than the sum of its proper divisors (539315120043).

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

223090624512 is an frugal number, since it uses more digits than its factorization.

223090624512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 223090624512 in words is "two hundred twenty-three billion, ninety million, six hundred twenty-four thousand, five hundred twelve".