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2073057228 = 22321129971861
BaseRepresentation
bin111101110010000…
…0101011111001100
312100110211012220100
41323210011133030
513221200312403
6541412451100
7102241460424
oct17344053714
95313735810
102073057228
11974206640
1249a319a90
132706465a8
14159475484
15c1ee42a3
hex7b9057cc

2073057228 has 144 divisors (see below), whose sum is σ = 5977913760. Its totient is φ = 599961600.

The previous prime is 2073057223. The next prime is 2073057241. The reversal of 2073057228 is 8227503702.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2073057192 and 2073057201.

It is not an unprimeable number, because it can be changed into a prime (2073057223) 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 47 ways as a sum of consecutive naturals, for example, 1113018 + ... + 1114878.

It is an arithmetic number, because the mean of its divisors is an integer number (41513290).

Almost surely, 22073057228 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 2073057228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988956880).

2073057228 is an abundant number, since it is smaller than the sum of its proper divisors (3904856532).

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

2073057228 is a wasteful number, since it uses less digits than its factorization.

2073057228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2073057228 is about 45530.8382088448. The cubic root of 2073057228 is about 1275.0790114819.

The spelling of 2073057228 in words is "two billion, seventy-three million, fifty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 97 99 116 132 174 194 198 261 291 319 348 388 396 522 582 638 873 957 1044 1067 1164 1276 1746 1861 1914 2134 2813 2871 3201 3492 3722 3828 4268 5583 5626 5742 6402 7444 8439 9603 11166 11252 11484 12804 16749 16878 19206 20471 22332 25317 30943 33498 33756 38412 40942 50634 53969 61413 61886 66996 81884 92829 101268 107938 122826 123772 161907 180517 184239 185658 215876 245652 278487 323814 361034 368478 371316 485721 541551 556974 593659 647628 722068 736956 971442 1083102 1113948 1187318 1624653 1780977 1942884 1985687 2166204 2374636 3249306 3561954 3971374 5234993 5342931 5957061 6498612 7123908 7942748 10469986 10685862 11914122 15704979 17871183 20939972 21371724 23828244 31409958 35742366 47114937 57584923 62819916 71484732 94229874 115169846 172754769 188459748 230339692 345509538 518264307 691019076 1036528614 2073057228