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2226444156 = 223241236791
BaseRepresentation
bin1000010010110100…
…1101011101111100
312202011110002012200
42010231031131330
514024432203111
61004532231500
7106113314556
oct20455153574
95664402180
102226444156
11a428514a2
1252176b590
1329635cca1
141719a24d6
15d06e2256
hex84b4d77c

2226444156 has 54 divisors (see below), whose sum is σ = 5768728056. Its totient is φ = 724027200.

The previous prime is 2226444139. The next prime is 2226444163. The reversal of 2226444156 is 6514446222.

2226444156 is a `hidden beast` number, since 2 + 2 + 2 + 644 + 4 + 1 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2226444156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42121 + ... + 78911.

Almost surely, 22226444156 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 2226444156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884364028).

2226444156 is an abundant number, since it is smaller than the sum of its proper divisors (3542283900).

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

2226444156 is a wasteful number, since it uses less digits than its factorization.

2226444156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36883 (or 36837 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2226444156 is about 47185.2112001207. The cubic root of 2226444156 is about 1305.7817731770.

The spelling of 2226444156 in words is "two billion, two hundred twenty-six million, four hundred forty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 10086 15129 20172 30258 36791 60516 73582 110373 147164 220746 331119 441492 662238 1324476 1508431 3016862 4525293 6033724 9050586 13575879 18101172 27151758 54303516 61845671 123691342 185537013 247382684 371074026 556611039 742148052 1113222078 2226444156