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2044021122 = 23311132231187
BaseRepresentation
bin111100111010101…
…0100100110000010
312021110012000212000
41321311110212002
513141232133442
6534454244430
7101436615153
oct17165244602
95243160760
102044021122
11959884360
12490656716
1326761b270
1415567792a
15be6aad4c
hex79d54982

2044021122 has 128 divisors (see below), whose sum is σ = 5364817920. Its totient is φ = 568710720.

The previous prime is 2044021103. The next prime is 2044021127. The reversal of 2044021122 is 2211204402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2044021095 and 2044021104.

It is not an unprimeable number, because it can be changed into a prime (2044021127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721413 + ... + 1722599.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 22044021122 is an apocalyptic number.

2044021122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

2044021122 is an abundant number, since it is smaller than the sum of its proper divisors (3320796798).

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

2044021122 is a wasteful number, since it uses less digits than its factorization.

2044021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2044021122 is about 45210.8518167928. The cubic root of 2044021122 is about 1269.0979027910.

Adding to 2044021122 its reverse (2211204402), we get a palindrome (4255225524).

The spelling of 2044021122 in words is "two billion, forty-four million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 223 234 286 297 351 429 446 594 669 702 858 1187 1287 1338 2007 2374 2453 2574 2899 3561 3861 4014 4906 5798 6021 7122 7359 7722 8697 10683 12042 13057 14718 15431 17394 21366 22077 26091 26114 30862 31889 32049 39171 44154 46293 52182 63778 64098 66231 78273 78342 92586 95667 117513 132462 138879 156546 169741 191334 235026 264701 277758 287001 339482 352539 416637 509223 529402 574002 705078 794103 833274 861003 1018446 1527669 1588206 1722006 2382309 2911711 3055338 3441113 4583007 4764618 5823422 6882226 7146927 8735133 9166014 10323339 14293854 17470266 20646678 26205399 30970017 37852243 52410798 61940034 75704486 78616197 92910051 113556729 157232394 185820102 227113458 340670187 681340374 1022010561 2044021122