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2266826112 = 273253137271
BaseRepresentation
bin1000011100011101…
…0000010110000000
312211222102200211200
42013013100112000
514120301413422
61012533541200
7110113463325
oct20707202600
95758380750
102266826112
11a63623011
125331a4800
132a182b635
141770b4b4c
15d401c2ac
hex871d0580

2266826112 has 192 divisors, whose sum is σ = 6719319360. Its totient is φ = 733224960.

The previous prime is 2266826101. The next prime is 2266826143. The reversal of 2266826112 is 2116286622.

It is a happy number.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8364537 + ... + 8364807.

It is an arithmetic number, because the mean of its divisors is an integer number (34996455).

Almost surely, 22266826112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359659680).

2266826112 is an abundant number, since it is smaller than the sum of its proper divisors (4452493248).

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

2266826112 is a wasteful number, since it uses less digits than its factorization.

2266826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2266826112 is about 47611.1973384413. The cubic root of 2266826112 is about 1313.6290244971.

The spelling of 2266826112 in words is "two billion, two hundred sixty-six million, eight hundred twenty-six thousand, one hundred twelve".