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2224631240 = 2351316972521
BaseRepresentation
bin1000010010011001…
…0010110111001000
312202001000222100122
42010212102313020
514024001144430
61004425322412
7106062024236
oct20446226710
95661028318
102224631240
11a41823417
12521036408
13295b76a60
1417164d956
15d0484ee5
hex84992dc8

2224631240 has 64 divisors (see below), whose sum is σ = 5395768560. Its totient is φ = 820592640.

The previous prime is 2224631221. The next prime is 2224631251. The reversal of 2224631240 is 421364222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 396726724 + 1827904516 = 19918^2 + 42754^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 881180 + ... + 883700.

Almost surely, 22224631240 is an apocalyptic number.

2224631240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224631240 is an abundant number, since it is smaller than the sum of its proper divisors (3171137320).

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

2224631240 is a wasteful number, since it uses less digits than its factorization.

2224631240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2224631240 is about 47165.9966501292. The cubic root of 2224631240 is about 1305.4272593838.

Adding to 2224631240 its reverse (421364222), we get a palindrome (2645995462).

The spelling of 2224631240 in words is "two billion, two hundred twenty-four million, six hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1697 2521 3394 5042 6788 8485 10084 12605 13576 16970 20168 22061 25210 32773 33940 44122 50420 65546 67880 88244 100840 110305 131092 163865 176488 220610 262184 327730 441220 655460 882440 1310920 4278137 8556274 17112548 21390685 34225096 42781370 55615781 85562740 111231562 171125480 222463124 278078905 444926248 556157810 1112315620 2224631240