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2022264640 = 26511574507
BaseRepresentation
bin111100010001001…
…0100111101000000
312012221020200120101
41320202110331000
513120144432030
6532400052144
7101053652164
oct17042247500
95187220511
102022264640
119485743a0
12485304054
13262c714c6
14152812ca4
15bc80e7ca
hex78894f40

2022264640 has 56 divisors (see below), whose sum is σ = 5253301152. Its totient is φ = 735367680.

The previous prime is 2022264617. The next prime is 2022264641. The reversal of 2022264640 is 464622202.

It is a junction number, because it is equal to n+sod(n) for n = 2022264599 and 2022264608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022264641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 283734 + ... + 290773.

Almost surely, 22022264640 is an apocalyptic number.

2022264640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022264640 is an abundant number, since it is smaller than the sum of its proper divisors (3231036512).

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

2022264640 is a wasteful number, since it uses less digits than its factorization.

2022264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574535 (or 574525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2022264640 is about 44969.5968405322. The cubic root of 2022264640 is about 1264.5790889258.

Adding to 2022264640 its reverse (464622202), we get a palindrome (2486886842).

It can be divided in two parts, 2022 and 264640, that added together give a palindrome (266662).

The spelling of 2022264640 in words is "two billion, twenty-two million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 574507 1149014 2298028 2872535 4596056 5745070 6319577 9192112 11490140 12639154 18384224 22980280 25278308 31597885 36768448 45960560 50556616 63195770 91921120 101113232 126391540 183842240 202226464 252783080 404452928 505566160 1011132320 2022264640