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2244046356 = 223459891319
BaseRepresentation
bin1000010111000001…
…0110111000010100
312210101120100220000
42011300112320110
514043433440411
61010401411300
7106416036126
oct20560267024
95711510800
102244046356
11a51784272
12527639b30
13299bb3ba6
14174065216
15d201c956
hex85c16e14

2244046356 has 120 divisors (see below), whose sum is σ = 6037416000. Its totient is φ = 726523776.

The previous prime is 2244046351. The next prime is 2244046369. The reversal of 2244046356 is 6536404422.

2244046356 is a `hidden beast` number, since 224 + 40 + 46 + 356 = 666.

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 2244046356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244046351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1700665 + ... + 1701983.

It is an arithmetic number, because the mean of its divisors is an integer number (50311800).

Almost surely, 22244046356 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 2244046356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018708000).

2244046356 is an abundant number, since it is smaller than the sum of its proper divisors (3793369644).

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

2244046356 is a wasteful number, since it uses less digits than its factorization.

2244046356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2244046356 is about 47371.3664147447. The cubic root of 2244046356 is about 1309.2139012757.

The spelling of 2244046356 in words is "two billion, two hundred forty-four million, forty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 89 108 118 162 177 178 236 267 324 354 356 531 534 708 801 1062 1068 1319 1593 1602 2124 2403 2638 3186 3204 3957 4779 4806 5251 5276 6372 7209 7914 9558 9612 10502 11871 14418 15753 15828 19116 21004 23742 28836 31506 35613 47259 47484 63012 71226 77821 94518 106839 117391 141777 142452 155642 189036 213678 233463 234782 283554 311284 352173 425331 427356 466926 469564 567108 700389 704346 850662 933852 1056519 1400778 1408692 1701324 2101167 2113038 2801556 3169557 4202334 4226076 6303501 6339114 6926069 8404668 9508671 12607002 12678228 13852138 19017342 20778207 25214004 27704276 38034684 41556414 62334621 83112828 124669242 187003863 249338484 374007726 561011589 748015452 1122023178 2244046356