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226938169344 = 2113192384523
BaseRepresentation
bin1101001101011010010…
…0011010100000000000
3210200202201012110211010
43103112210122200000
512204232132404334
6252130504320520
722252511416605
oct3232644324000
9720681173733
10226938169344
1188275753577
1237b95173140
1318528261753
14adaba2a6ac
155d833940e9
hex34d691a800

226938169344 has 192 divisors, whose sum is σ = 664561497600. Its totient is φ = 68548018176.

The previous prime is 226938169331. The next prime is 226938169453. The reversal of 226938169344 is 443961839622.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2642667 + ... + 2727189.

It is an arithmetic number, because the mean of its divisors is an integer number (3461257800).

Almost surely, 2226938169344 is an apocalyptic number.

226938169344 is a gapful number since it is divisible by the number (24) 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 226938169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332280748800).

226938169344 is an abundant number, since it is smaller than the sum of its proper divisors (437623328256).

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

226938169344 is a wasteful number, since it uses less digits than its factorization.

226938169344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84590 (or 84570 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The spelling of 226938169344 in words is "two hundred twenty-six billion, nine hundred thirty-eight million, one hundred sixty-nine thousand, three hundred forty-four".