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2023023222 = 2331117892251
BaseRepresentation
bin111100010010100…
…1110001001110110
312012222200020011000
41320211032021312
513120343220342
6532424224130
7101063261613
oct17045161166
95188606130
102023023222
11948a42320
1248560b046
1326317887c
1415296d50a
15bc90e44c
hex7894e276

2023023222 has 128 divisors (see below), whose sum is σ = 5253465600. Its totient is φ = 570240000.

The previous prime is 2023023217. The next prime is 2023023227. The reversal of 2023023222 is 2223203202.

It is an interprime number because it is at equal distance from previous prime (2023023217) and next prime (2023023227).

It is a super-2 number, since 2×20230232222 = 8185245913502522568, which contains 22 as substring.

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 = 2023023195 and 2023023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023023227) 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, 897597 + ... + 899847.

It is an arithmetic number, because the mean of its divisors is an integer number (41042700).

Almost surely, 22023023222 is an apocalyptic number.

2023023222 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 2023023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626732800).

2023023222 is an abundant number, since it is smaller than the sum of its proper divisors (3230442378).

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

2023023222 is a wasteful number, since it uses less digits than its factorization.

2023023222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023023222 is about 44978.0304370923. The cubic root of 2023023222 is about 1264.7371900620.

Adding to 2023023222 its reverse (2223203202), we get a palindrome (4246226424).

The spelling of 2023023222 in words is "two billion, twenty-three million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 89 99 102 153 178 187 198 267 297 306 374 459 534 561 594 801 918 979 1122 1513 1602 1683 1958 2251 2403 2937 3026 3366 4502 4539 4806 5049 5874 6753 8811 9078 10098 13506 13617 16643 17622 20259 24761 26433 27234 33286 38267 40518 40851 49522 49929 52866 60777 74283 76534 81702 99858 114801 121554 148566 149787 200339 222849 229602 299574 344403 400678 420937 445698 449361 601017 668547 688806 841874 898722 1033209 1202034 1262811 1337094 1803051 2066418 2203729 2525622 3405763 3606102 3788433 4407458 5409153 6611187 6811526 7576866 10217289 10818306 11365299 13222374 19833561 20434578 22730598 30651867 37463393 39667122 59500683 61303734 74926786 91955601 112390179 119001366 183911202 224780358 337170537 674341074 1011511611 2023023222