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2242705024 = 2772986311
BaseRepresentation
bin1000010110101100…
…1111011010000000
312210022001012221001
42011223033122000
514043113030044
61010312541344
7106401451420
oct20553173200
95708035831
102242705024
11a50a4852a
125270b1854
132998344c1
14173bd6480
15d1d552d4
hex85acf680

2242705024 has 64 divisors (see below), whose sum is σ = 5282294400. Its totient is φ = 928005120.

The previous prime is 2242705021. The next prime is 2242705027. The reversal of 2242705024 is 4205072422.

It is an interprime number because it is at equal distance from previous prime (2242705021) and next prime (2242705027).

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 2242704983 and 2242705001.

It is not an unprimeable number, because it can be changed into a prime (2242705021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17172 + ... + 69139.

It is an arithmetic number, because the mean of its divisors is an integer number (82535850).

Almost surely, 22242705024 is an apocalyptic number.

It is an amenable number.

2242705024 is an abundant number, since it is smaller than the sum of its proper divisors (3039589376).

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

2242705024 is an equidigital number, since it uses as much as digits as its factorization.

2242705024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86361 (or 86349 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 2242705024 is about 47357.2066743806. The cubic root of 2242705024 is about 1308.9529974993.

Adding to 2242705024 its reverse (4205072422), we get a palindrome (6447777446).

The spelling of 2242705024 in words is "two billion, two hundred forty-two million, seven hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6496 12992 25984 86311 172622 345244 604177 690488 1208354 1380976 2416708 2503019 2761952 4833416 5006038 5523904 9666832 10012076 11047808 17521133 19333664 20024152 35042266 38667328 40048304 70084532 77334656 80096608 140169064 160193216 280338128 320386432 560676256 1121352512 2242705024