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2246244 = 22371121317
BaseRepresentation
bin1000100100011001100100
311020010021020
420210121210
51033334434
6120051140
725043550
oct10443144
94203236
102246244
1112a4700
12903ab0
13608550
14426860
152e5849
hex224664

2246244 has 144 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 506880.

The previous prime is 2246239. The next prime is 2246269. The reversal of 2246244 is 4426422.

It is a super-2 number, since 2×22462442 = 10091224215072, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 29 + 217 + 43 + 62 + 221 + 45 + 47 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132124 + ... + 132140.

It is an arithmetic number, because the mean of its divisors is an integer number (52136).

22246244 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 2246244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2246244 is an abundant number, since it is smaller than the sum of its proper divisors (5261340).

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

2246244 is a wasteful number, since it uses less digits than its factorization.

2246244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2246244 is about 1498.7474770621. The cubic root of 2246244 is about 130.9641142503.

The spelling of 2246244 in words is "two million, two hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 17 21 22 26 28 33 34 39 42 44 51 52 66 68 77 78 84 91 102 119 121 132 143 154 156 182 187 204 221 231 238 242 273 286 308 357 363 364 374 429 442 462 476 484 546 561 572 663 714 726 748 847 858 884 924 1001 1092 1122 1309 1326 1428 1452 1547 1573 1694 1716 2002 2057 2244 2431 2541 2618 2652 3003 3094 3146 3388 3927 4004 4114 4641 4719 4862 5082 5236 6006 6171 6188 6292 7293 7854 8228 9282 9438 9724 10164 11011 12012 12342 14399 14586 15708 17017 18564 18876 22022 24684 26741 28798 29172 33033 34034 43197 44044 51051 53482 57596 66066 68068 80223 86394 102102 106964 132132 160446 172788 187187 204204 320892 374374 561561 748748 1123122 2246244