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226272422772 = 22321117317115271
BaseRepresentation
bin1101001010111011100…
…0110010101101110100
3210122001022111001012200
43102232320302231310
512201401220012042
6251540443144500
722230145600524
oct3225670625564
9718038431180
10226272422772
1187a6397a2a0
1237a2a215130
1318450356376
14ad4744b684
155d44bdac4c
hex34aee32b74

226272422772 has 288 divisors, whose sum is σ = 691629539328. Its totient is φ = 61568640000.

The previous prime is 226272422771. The next prime is 226272422807. The reversal of 226272422772 is 277224272622.

It is a super-2 number, since 2×2262724227722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226272422771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14809497 + ... + 14824767.

It is an arithmetic number, because the mean of its divisors is an integer number (2401491456).

Almost surely, 2226272422772 is an apocalyptic number.

226272422772 is a gapful number since it is divisible by the number (22) 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 226272422772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345814769664).

226272422772 is an abundant number, since it is smaller than the sum of its proper divisors (465357116556).

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

226272422772 is a wasteful number, since it uses less digits than its factorization.

226272422772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15406 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The spelling of 226272422772 in words is "two hundred twenty-six billion, two hundred seventy-two million, four hundred twenty-two thousand, seven hundred seventy-two".