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226260281280 = 263511210318911
BaseRepresentation
bin1101001010111000101…
…0011110011111000000
3210122000110122012012210
43102232022132133000
512201340113000110
6251535331022120
722226640441555
oct3225612363700
9718013565183
10226260281280
1187a58037200
1237a2613a940
131844a994b57
14ad459aaa2c
155d43add520
hex34ae29e7c0

226260281280 has 336 divisors, whose sum is σ = 797328709632. Its totient is φ = 54315571200.

The previous prime is 226260281263. The next prime is 226260281297. The reversal of 226260281280 is 82182062622.

226260281280 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226260281263) and next prime (226260281297).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11955025 + ... + 11973935.

It is an arithmetic number, because the mean of its divisors is an integer number (2373002112).

Almost surely, 2226260281280 is an apocalyptic number.

226260281280 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 226260281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398664354816).

226260281280 is an abundant number, since it is smaller than the sum of its proper divisors (571068428352).

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

226260281280 is a wasteful number, since it uses less digits than its factorization.

226260281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19056 (or 19035 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 226260281280 in words is "two hundred twenty-six billion, two hundred sixty million, two hundred eighty-one thousand, two hundred eighty".