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2442253300 = 225261339841
BaseRepresentation
bin1001000110010001…
…1101001111110100
320022012112022200221
42101210131033310
520000204101200
61042201544124
7114343545004
oct22144351764
96265468627
102442253300
111043652063
12581aa5044
132cbc90cc6
141924dc004
15e462091a
hex9191d3f4

2442253300 has 36 divisors (see below), whose sum is σ = 5308468396. Its totient is φ = 975283200.

The previous prime is 2442253277. The next prime is 2442253309. The reversal of 2442253300 is 33522442.

2442253300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 813162256 + 1629091044 = 28516^2 + 40362^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442253309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41380 + ... + 81220.

Almost surely, 22442253300 is an apocalyptic number.

2442253300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442253300 is an abundant number, since it is smaller than the sum of its proper divisors (2866215096).

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

2442253300 is a wasteful number, since it uses less digits than its factorization.

2442253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40468 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2442253300 is about 49419.1592401166. The cubic root of 2442253300 is about 1346.6773892501.

Adding to 2442253300 its reverse (33522442), we get a palindrome (2475775742).

The spelling of 2442253300 in words is "two billion, four hundred forty-two million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 613 1226 2452 3065 6130 12260 15325 30650 39841 61300 79682 159364 199205 398410 796820 996025 1992050 3984100 24422533 48845066 97690132 122112665 244225330 488450660 610563325 1221126650 2442253300