Search a number
-
+
2022040224 = 253231226483
BaseRepresentation
bin111100010000101…
…1110001010100000
312012220211021201200
41320201132022200
513120120241344
6532351201200
7101052026001
oct17041361240
95186737650
102022040224
11948430826
12485216200
13262bc3309
141527951a8
15bc7b8069
hex7885e2a0

2022040224 has 72 divisors (see below), whose sum is σ = 5935692672. Its totient is φ = 652268160.

The previous prime is 2022040201. The next prime is 2022040253. The reversal of 2022040224 is 4220402202.

2022040224 is a `hidden beast` number, since 20 + 220 + 402 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2022040197 and 2022040206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104314 + ... + 122169.

It is an arithmetic number, because the mean of its divisors is an integer number (82440176).

Almost surely, 22022040224 is an apocalyptic number.

2022040224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2022040224 is an abundant number, since it is smaller than the sum of its proper divisors (3913652448).

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

2022040224 is a wasteful number, since it uses less digits than its factorization.

2022040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226530 (or 226519 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2022040224 is about 44967.1015743732. The cubic root of 2022040224 is about 1264.5323093116.

Adding to 2022040224 its reverse (4220402202), we get a palindrome (6242442426).

The spelling of 2022040224 in words is "two billion, twenty-two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 226483 452966 679449 905932 1358898 1811864 2038347 2717796 3623728 4076694 5435592 7020973 7247456 8153388 10871184 14041946 16306776 21062919 21742368 28083892 32613552 42125838 56167784 63188757 65227104 84251676 112335568 126377514 168503352 224671136 252755028 337006704 505510056 674013408 1011020112 2022040224