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2242536032 = 2511311511361
BaseRepresentation
bin1000010110101010…
…0110001001100000
312210021201122010002
42011222212021200
514043042123112
61010305155132
7106400145632
oct20552461140
95707648102
102242536032
11a50942570
1252702baa8
132997a55c9
14173b90a52
15d1d201c2
hex85aa6260

2242536032 has 96 divisors (see below), whose sum is σ = 5008324608. Its totient is φ = 979200000.

The previous prime is 2242536031. The next prime is 2242536059. The reversal of 2242536032 is 2306352422.

It is a junction number, because it is equal to n+sod(n) for n = 2242535986 and 2242536004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242536031) 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, 1647032 + ... + 1648392.

It is an arithmetic number, because the mean of its divisors is an integer number (52170048).

Almost surely, 22242536032 is an apocalyptic number.

2242536032 is a gapful number since it is divisible by the number (22) 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 2242536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504162304).

2242536032 is an abundant number, since it is smaller than the sum of its proper divisors (2765788576).

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

2242536032 is a wasteful number, since it uses less digits than its factorization.

2242536032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 2242536032 is about 47355.4224139116. The cubic root of 2242536032 is about 1308.9201193249.

Adding to 2242536032 its reverse (2306352422), we get a palindrome (4548888454).

The spelling of 2242536032 in words is "two billion, two hundred forty-two million, five hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 151 176 248 302 341 352 496 604 682 992 1208 1361 1364 1661 2416 2722 2728 3322 4681 4832 5444 5456 6644 9362 10888 10912 13288 14971 18724 21776 26576 29942 37448 42191 43552 51491 53152 59884 74896 84382 102982 119768 149792 168764 205511 205964 239536 337528 411022 411928 464101 479072 675056 822044 823856 928202 1350112 1644088 1647712 1856404 2260621 3288176 3712808 4521242 6370841 6576352 7425616 9042484 12741682 14851232 18084968 25483364 36169936 50966728 70079251 72339872 101933456 140158502 203866912 280317004 560634008 1121268016 2242536032