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223424041422240 = 25310523648161
BaseRepresentation
bin110010110011001111110110…
…100111111000110110100000
31002022002010111121010000000000
4302303033312213320312200
5213241034414101002430
62111103330534300000
765026566012245541
oct6263176647706640
91068063447100000
10223424041422240
116520a67080385a
12210850ab4b7600
139788a48481179
143d25ad1c7a4c8
151ac6b8a9d6e60
hexcb33f69f8da0

223424041422240 has 264 divisors, whose sum is σ = 791754510768228. Its totient is φ = 59579741859840.

The previous prime is 223424041422229. The next prime is 223424041422251. The reversal of 223424041422240 is 42224140424322.

223424041422240 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 2 + 404 + 1 + 4 + 2 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (223424041422229) and next prime (223424041422251).

It can be written as a sum of positive squares in 2 ways, for example, as 205521698816784 + 17902342605456 = 14336028^2 + 4231116^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 223424041422195 and 223424041422204.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2376241 + ... + 21271920.

Almost surely, 2223424041422240 is an apocalyptic number.

223424041422240 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 223424041422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395877255384114).

223424041422240 is an abundant number, since it is smaller than the sum of its proper divisors (568330469345988).

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

223424041422240 is an frugal number, since it uses more digits than its factorization.

223424041422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23648206 (or 23648171 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 223424041422240 its reverse (42224140424322), we get a palindrome (265648181846562).

The spelling of 223424041422240 in words is "two hundred twenty-three trillion, four hundred twenty-four billion, forty-one million, four hundred twenty-two thousand, two hundred forty".