Search a number
-
+
2442021240 = 233533296113
BaseRepresentation
bin1001000110001110…
…0100100101111000
320022012002112101010
42101203210211320
520000124134430
61042152553520
7114341560311
oct22143444570
96265075333
102442021240
11104350377a
125819b28a0
132cbc0c4a9
1419247b608
15e45c6cb0
hex918e4978

2442021240 has 64 divisors (see below), whose sum is σ = 7329463200. Its totient is φ = 650903552.

The previous prime is 2442021217. The next prime is 2442021271. The reversal of 2442021240 is 421202442.

It is a super-2 number, since 2×24420212402 = 11926935473222275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396424 + ... + 402536.

Almost surely, 22442021240 is an apocalyptic number.

2442021240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442021240 is an abundant number, since it is smaller than the sum of its proper divisors (4887441960).

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

2442021240 is a wasteful number, since it uses less digits than its factorization.

2442021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2442021240 is about 49416.8113095129. The cubic root of 2442021240 is about 1346.6347346718.

Adding to 2442021240 its reverse (421202442), we get a palindrome (2863223682).

The spelling of 2442021240 in words is "two billion, four hundred forty-two million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3329 6113 6658 9987 12226 13316 16645 18339 19974 24452 26632 30565 33290 36678 39948 48904 49935 61130 66580 73356 79896 91695 99870 122260 133160 146712 183390 199740 244520 366780 399480 733560 20350177 40700354 61050531 81400708 101750885 122101062 162801416 203501770 244202124 305252655 407003540 488404248 610505310 814007080 1221010620 2442021240