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226341165624420 = 2235711233757569441
BaseRepresentation
bin110011011101101100101000…
…110001100110110001100100
31002200102000002222221112110210
4303131230220301212301210
5214131333201344440140
62121215410202015420
765450416040661060
oct6335545061466144
91080360088845423
10226341165624420
1166134827324a40
12214765264a7570
13993ab5a130542
143dc6d840c2aa0
151b279be54dd80
hexcddb28c66c64

226341165624420 has 384 divisors, whose sum is σ = 846773724045312. Its totient is φ = 43771196620800.

The previous prime is 226341165624407. The next prime is 226341165624421. The reversal of 226341165624420 is 24426561143622.

It is a happy number.

226341165624420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2263411656244202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226341165624420.

It is not an unprimeable number, because it can be changed into a prime (226341165624421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24853101 + ... + 32716340.

It is an arithmetic number, because the mean of its divisors is an integer number (2205139906368).

Almost surely, 2226341165624420 is an apocalyptic number.

226341165624420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226341165624420 is an abundant number, since it is smaller than the sum of its proper divisors (620432558420892).

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

226341165624420 is a wasteful number, since it uses less digits than its factorization.

226341165624420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57569531 (or 57569529 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 226341165624420 in words is "two hundred twenty-six trillion, three hundred forty-one billion, one hundred sixty-five million, six hundred twenty-four thousand, four hundred twenty".