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2246512440 = 2335139134683
BaseRepresentation
bin1000010111100111…
…0000111100111000
312210120012122201110
42011321300330320
514100101344230
61010530320320
7106446016644
oct20571607470
95716178643
102246512440
11a53109057
125284290a0
1329a568503
14174507c24
15d23584b0
hex85e70f38

2246512440 has 64 divisors (see below), whose sum is σ = 6788073600. Its totient is φ = 594755712.

The previous prime is 2246512427. The next prime is 2246512459. The reversal of 2246512440 is 442156422.

2246512440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2246512398 and 2246512407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50662 + ... + 84021.

It is an arithmetic number, because the mean of its divisors is an integer number (106063650).

Almost surely, 22246512440 is an apocalyptic number.

2246512440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246512440 is an abundant number, since it is smaller than the sum of its proper divisors (4541561160).

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

2246512440 is a wasteful number, since it uses less digits than its factorization.

2246512440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134836 (or 134832 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2246512440 is about 47397.3885356567. The cubic root of 2246512440 is about 1309.6933104868.

Adding to 2246512440 its reverse (442156422), we get a palindrome (2688668862).

The spelling of 2246512440 in words is "two billion, two hundred forty-six million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 134683 269366 404049 538732 673415 808098 1077464 1346830 1616196 2020245 2693660 3232392 4040490 5387320 8080980 16161960 18720937 37441874 56162811 74883748 93604685 112325622 149767496 187209370 224651244 280814055 374418740 449302488 561628110 748837480 1123256220 2246512440