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2442022024 = 2313293126119
BaseRepresentation
bin1001000110001110…
…0100110010001000
320022012002120110011
42101203210302020
520000124201044
61042153001304
7114341562511
oct22143446210
96265076404
102442022024
111043504322
125819b3234
132cbc0c960
1419247ba08
15e45c7134
hex918e4c88

2442022024 has 64 divisors (see below), whose sum is σ = 5265792000. Its totient is φ = 1053077760.

The previous prime is 2442022021. The next prime is 2442022027. The reversal of 2442022024 is 4202202442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2442022021) and next prime (2442022027).

It is a junction number, because it is equal to n+sod(n) for n = 2442021986 and 2442022004.

It is not an unprimeable number, because it can be changed into a prime (2442022021) 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, 80437 + ... + 106555.

It is an arithmetic number, because the mean of its divisors is an integer number (82278000).

Almost surely, 22442022024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442022024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632896000).

2442022024 is an abundant number, since it is smaller than the sum of its proper divisors (2823769976).

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

2442022024 is a wasteful number, since it uses less digits than its factorization.

2442022024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26198 (or 26194 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2442022024 is about 49416.8192420354. The cubic root of 2442022024 is about 1346.6348787822.

Adding to 2442022024 its reverse (4202202442), we get a palindrome (6644224466).

The spelling of 2442022024 in words is "two billion, four hundred forty-two million, twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1508 1612 1798 3016 3224 3596 7192 11687 23374 26119 46748 52238 93496 104476 208952 339547 679094 757451 809689 1358188 1514902 1619378 2716376 3029804 3238756 6059608 6477512 9846863 10525957 19693726 21051914 23480981 39387452 42103828 46961962 78774904 84207656 93923924 187847848 305252753 610505506 1221011012 2442022024