Search a number
-
+
2022253440 = 27351053257
BaseRepresentation
bin111100010001001…
…0010001110000000
312012221020010012120
41320202102032000
513120144102230
6532355524240
7101053604424
oct17042221600
95187203176
102022253440
11948566a39
124852b9680
13262c6938c
1415280cb84
15bc80b310
hex78892380

2022253440 has 64 divisors (see below), whose sum is σ = 6445938960. Its totient is φ = 539267072.

The previous prime is 2022253399. The next prime is 2022253447. The reversal of 2022253440 is 443522202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 2022253440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022253447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524709 + ... + 528548.

Almost surely, 22022253440 is an apocalyptic number.

2022253440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022253440 is an abundant number, since it is smaller than the sum of its proper divisors (4423685520).

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

2022253440 is a wasteful number, since it uses less digits than its factorization.

2022253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053279 (or 1053267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2022253440 is about 44969.4723117806. The cubic root of 2022253440 is about 1264.5767543630.

Adding to 2022253440 its reverse (443522202), we get a palindrome (2465775642).

The spelling of 2022253440 in words is "two billion, twenty-two million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1053257 2106514 3159771 4213028 5266285 6319542 8426056 10532570 12639084 15798855 16852112 21065140 25278168 31597710 33704224 42130280 50556336 63195420 67408448 84260560 101112672 126390840 134816896 168521120 202225344 252781680 337042240 404450688 505563360 674084480 1011126720 2022253440