Search a number
-
+
2142245320 = 235122943577
BaseRepresentation
bin111111110110000…
…0001000111001000
312112022000100010021
41333230001013020
513341403322240
6552323430224
7104041533115
oct17754010710
95468010107
102142245320
119aa272686
124b9525374
13281a8c6a7
1416472590c
15c810e54a
hex7fb011c8

2142245320 has 32 divisors (see below), whose sum is σ = 4824084600. Its totient is φ = 856181248.

The previous prime is 2142245309. The next prime is 2142245353. The reversal of 2142245320 is 235422412.

It can be written as a sum of positive squares in 4 ways, for example, as 2003994756 + 138250564 = 44766^2 + 11758^2 .

It is a super-2 number, since 2×21422453202 = 9178430022123804800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27372 + ... + 70948.

Almost surely, 22142245320 is an apocalyptic number.

2142245320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142245320 is an abundant number, since it is smaller than the sum of its proper divisors (2681839280).

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

2142245320 is a wasteful number, since it uses less digits than its factorization.

2142245320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44817 (or 44813 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2142245320 is about 46284.3960747032. The cubic root of 2142245320 is about 1289.1092783500.

Adding to 2142245320 its reverse (235422412), we get a palindrome (2377667732).

The spelling of 2142245320 in words is "two billion, one hundred forty-two million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1229 2458 4916 6145 9832 12290 24580 43577 49160 87154 174308 217885 348616 435770 871540 1743080 53556133 107112266 214224532 267780665 428449064 535561330 1071122660 2142245320