Search a number
-
+
2022244440 = 233531753161
BaseRepresentation
bin111100010001001…
…0000000001011000
312012221012122212020
41320202100001120
513120143310230
6532355414440
7101053536246
oct17042200130
95187178766
102022244440
119485601a7
124852b4420
13262c65258
14152809796
15bc808810
hex78890058

2022244440 has 64 divisors (see below), whose sum is σ = 6085985760. Its totient is φ = 537553920.

The previous prime is 2022244439. The next prime is 2022244447. The reversal of 2022244440 is 444422202.

It is a super-2 number, since 2×20222444402 = 8178945150221827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2022244440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022244447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11460 + ... + 64620.

Almost surely, 22022244440 is an apocalyptic number.

2022244440 is a gapful number since it is divisible by the number (20) 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 2022244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042992880).

2022244440 is an abundant number, since it is smaller than the sum of its proper divisors (4063741320).

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

2022244440 is a wasteful number, since it uses less digits than its factorization.

2022244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53492 (or 53488 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2022244440 is about 44969.3722437839. The cubic root of 2022244440 is about 1264.5748783687.

Adding to 2022244440 its reverse (444422202), we get a palindrome (2466666642).

The spelling of 2022244440 in words is "two billion, twenty-two million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 9510 12680 19020 38040 53161 106322 159483 212644 265805 318966 425288 531610 637932 797415 1063220 1275864 1594830 2126440 3189660 6379320 16852037 33704074 50556111 67408148 84260185 101112222 134816296 168520370 202224444 252780555 337040740 404448888 505561110 674081480 1011122220 2022244440