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180226044 = 2232171811627
BaseRepresentation
bin10101011111000…
…00011111111100
3110120010102122200
422233200133330
5332114213134
625514511500
74315616235
oct1257403774
9416112580
10180226044
1192807549
1250435590
132b452a3b
1419d1608c
1510c50499
hexabe07fc

180226044 has 72 divisors (see below), whose sum is σ = 485332848. Its totient is φ = 56194560.

The previous prime is 180226031. The next prime is 180226049. The reversal of 180226044 is 440622081.

It is a junction number, because it is equal to n+sod(n) for n = 180225999 and 180226017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180226049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 109959 + ... + 111585.

It is an arithmetic number, because the mean of its divisors is an integer number (6740734).

Almost surely, 2180226044 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 180226044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242666424).

180226044 is an abundant number, since it is smaller than the sum of its proper divisors (305106804).

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

180226044 is a wasteful number, since it uses less digits than its factorization.

180226044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 180226044 is about 13424.8293843907. The cubic root of 180226044 is about 564.8578690702.

The spelling of 180226044 in words is "one hundred eighty million, two hundred twenty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 181 204 306 362 543 612 724 1086 1627 1629 2172 3077 3254 3258 4881 6154 6508 6516 9231 9762 12308 14643 18462 19524 27659 27693 29286 36924 55318 55386 58572 82977 110636 110772 165954 248931 294487 331908 497862 588974 883461 995724 1177948 1766922 2650383 3533844 5006279 5300766 10012558 10601532 15018837 20025116 30037674 45056511 60075348 90113022 180226044