Search a number
-
+
2442319140 = 223540705319
BaseRepresentation
bin1001000110010010…
…1101010100100100
320022012122200000110
42101210231110210
520000213203030
61042203213020
7114344240652
oct22144552444
96265580013
102442319140
111043697578
12581b17170
132cbcb4c71
14192517dd2
15e46351b0
hex9192d524

2442319140 has 24 divisors (see below), whose sum is σ = 6838493760. Its totient is φ = 651285088.

The previous prime is 2442319133. The next prime is 2442319141. The reversal of 2442319140 is 419132442.

It is a super-2 number, since 2×24423191402 = 11929845563220679200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2442319098 and 2442319107.

It is not an unprimeable number, because it can be changed into a prime (2442319141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20352600 + ... + 20352719.

It is an arithmetic number, because the mean of its divisors is an integer number (284937240).

Almost surely, 22442319140 is an apocalyptic number.

2442319140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442319140 is an abundant number, since it is smaller than the sum of its proper divisors (4396174620).

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

2442319140 is a wasteful number, since it uses less digits than its factorization.

2442319140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40705331 (or 40705329 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2442319140 is about 49419.8253740339. The cubic root of 2442319140 is about 1346.6894907034.

The spelling of 2442319140 in words is "two billion, four hundred forty-two million, three hundred nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40705319 81410638 122115957 162821276 203526595 244231914 407053190 488463828 610579785 814106380 1221159570 2442319140