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2023012332 = 22321153113853
BaseRepresentation
bin111100010010100…
…1011011111101100
312012222122200012200
41320211023133230
513120342343312
6532424101500
7101063215065
oct17045133754
95188580180
102023012332
11948a35120
12485604890
13263173923
1415296956c
15bc90b0dc
hex7894b7ec

2023012332 has 144 divisors (see below), whose sum is σ = 5740888608. Its totient is φ = 595445760.

The previous prime is 2023012331. The next prime is 2023012361. The reversal of 2023012332 is 2332103202.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2023012331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2371218 + ... + 2372070.

It is an arithmetic number, because the mean of its divisors is an integer number (39867282).

Almost surely, 22023012332 is an apocalyptic number.

2023012332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870444304).

2023012332 is an abundant number, since it is smaller than the sum of its proper divisors (3717876276).

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

2023012332 is a wasteful number, since it uses less digits than its factorization.

2023012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2023012332 is about 44977.9093778268. The cubic root of 2023012332 is about 1264.7349206841.

Adding to 2023012332 its reverse (2332103202), we get a palindrome (4355115534).

The spelling of 2023012332 in words is "two billion, twenty-three million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 113 132 159 198 212 226 318 339 396 452 477 583 636 678 853 954 1017 1166 1243 1356 1706 1749 1908 2034 2332 2486 2559 3412 3498 3729 4068 4972 5118 5247 5989 6996 7458 7677 9383 10236 10494 11187 11978 14916 15354 17967 18766 20988 22374 23956 28149 30708 35934 37532 44748 45209 53901 56298 65879 71868 84447 90418 96389 107802 112596 131758 135627 168894 180836 192778 197637 215604 263516 271254 289167 337788 385556 395274 406881 497299 542508 578334 592911 790548 813762 867501 994598 1060279 1156668 1185822 1491897 1627524 1735002 1989196 2120558 2371644 2983794 3180837 3470004 4241116 4475691 5108617 5967588 6361674 8951382 9542511 10217234 12723348 15325851 17902764 19085022 20434468 30651702 38170044 45977553 56194787 61303404 91955106 112389574 168584361 183910212 224779148 337168722 505753083 674337444 1011506166 2023012332