Search a number
-
+
2134422024 = 233783153071
BaseRepresentation
bin111111100111000…
…1011001000001000
312111202021212120120
41333032023020020
513332403001044
6551444023240
7103615200510
oct17716131010
95452255516
102134422024
119a5909949
124b6991b20
13280280817
1416368a840
15c75b6519
hex7f38b208

2134422024 has 64 divisors (see below), whose sum is σ = 6171863040. Its totient is φ = 602483520.

The previous prime is 2134422023. The next prime is 2134422049. The reversal of 2134422024 is 4202244312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2134421985 and 2134422003.

It is not an unprimeable number, because it can be changed into a prime (2134422023) 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, 62592 + ... + 90479.

It is an arithmetic number, because the mean of its divisors is an integer number (96435360).

Almost surely, 22134422024 is an apocalyptic number.

2134422024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134422024 is an abundant number, since it is smaller than the sum of its proper divisors (4037441016).

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

2134422024 is a wasteful number, since it uses less digits than its factorization.

2134422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153170 (or 153166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2134422024 is about 46199.8054541358. The cubic root of 2134422024 is about 1287.5381254177.

Adding to 2134422024 its reverse (4202244312), we get a palindrome (6336666336).

The spelling of 2134422024 in words is "two billion, one hundred thirty-four million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 153071 306142 459213 612284 918426 1071497 1224568 1836852 2142994 3214491 3673704 4285988 6428982 8571976 12704893 12857964 25409786 25715928 38114679 50819572 76229358 88934251 101639144 152458716 177868502 266802753 304917432 355737004 533605506 711474008 1067211012 2134422024