Search a number
-
+
223340903976960 = 21233571119535209
BaseRepresentation
bin110010110010000010011011…
…001111101101000000000000
31002021210011220121100012012000
4302302002123033231000000
5213233204132404230320
62111001221142304000
765020563542521260
oct6262023317550000
91067704817305160
10223340903976960
116518838889a6a0
1221070b68a28000
139780c59340573
143d21a8655b7a0
151ac4921d74c90
hexcb209b3ed000

223340903976960 has 3328 divisors, whose sum is σ = 1061893297152000. Its totient is φ = 43128119623680.

The previous prime is 223340903976959. The next prime is 223340903976961. The reversal of 223340903976960 is 69679309043322.

223340903976960 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 40 + 90 + 397 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (223340903976959) and next prime (223340903976961).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223340903976961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42875962836 + ... + 42875968044.

Almost surely, 2223340903976960 is an apocalyptic number.

223340903976960 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 223340903976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530946648576000).

223340903976960 is an abundant number, since it is smaller than the sum of its proper divisors (838552393175040).

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

223340903976960 is a wasteful number, since it uses less digits than its factorization.

223340903976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 223340903976960 in words is "two hundred twenty-three trillion, three hundred forty billion, nine hundred three million, nine hundred seventy-six thousand, nine hundred sixty".