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2315454240 = 253511438533
BaseRepresentation
bin1000101000000011…
…0000011100100000
312222100221021002110
42022000300130200
514220224013430
61021432115320
7111244015311
oct21200603440
95870837073
102315454240
11a89017050
12547535b40
132ab926488
1417d732608
15d84257b0
hex8a030720

2315454240 has 96 divisors (see below), whose sum is σ = 7956760896. Its totient is φ = 561320960.

The previous prime is 2315454217. The next prime is 2315454259. The reversal of 2315454240 is 424545132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23154542402 = 10722656675067955200, 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 = 2315454198 and 2315454207.

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, 213987 + ... + 224546.

It is an arithmetic number, because the mean of its divisors is an integer number (82882926).

Almost surely, 22315454240 is an apocalyptic number.

2315454240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315454240 is an abundant number, since it is smaller than the sum of its proper divisors (5641306656).

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

2315454240 is a wasteful number, since it uses less digits than its factorization.

2315454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438562 (or 438554 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2315454240 is about 48119.1670750856. The cubic root of 2315454240 is about 1322.9560016653.

Adding to 2315454240 its reverse (424545132), we get a palindrome (2739999372).

The spelling of 2315454240 in words is "two billion, three hundred fifteen million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 438533 877066 1315599 1754132 2192665 2631198 3508264 4385330 4823863 5262396 6577995 7016528 8770660 9647726 10524792 13155990 14033056 14471589 17541320 19295452 21049584 24119315 26311980 28943178 35082640 38590904 42099168 48238630 52623960 57886356 70165280 72357945 77181808 96477260 105247920 115772712 144715890 154363616 192954520 210495840 231545424 289431780 385909040 463090848 578863560 771818080 1157727120 2315454240