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2292120240 = 243589107309
BaseRepresentation
bin1000100010011110…
…1111101010110000
312220202000202212020
42020213233222300
514143240321430
61015240031440
7110541462204
oct21047575260
95822022766
102292120240
11a76929953
1253b762580
132a6b46687
1417a5bab04
15d6366b10
hex889efab0

2292120240 has 80 divisors (see below), whose sum is σ = 7185477600. Its totient is φ = 604358656.

The previous prime is 2292120227. The next prime is 2292120247. The reversal of 2292120240 is 420212922.

2292120240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2292120240.

It is not an unprimeable number, because it can be changed into a prime (2292120247) 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, 32295 + ... + 75014.

It is an arithmetic number, because the mean of its divisors is an integer number (89818470).

Almost surely, 22292120240 is an apocalyptic number.

2292120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2292120240 is an abundant number, since it is smaller than the sum of its proper divisors (4893357360).

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

2292120240 is a wasteful number, since it uses less digits than its factorization.

2292120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107414 (or 107408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2292120240 is about 47876.0925723894. The cubic root of 2292120240 is about 1318.4969576860.

The spelling of 2292120240 in words is "two billion, two hundred ninety-two million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 7120 10680 21360 107309 214618 321927 429236 536545 643854 858472 1073090 1287708 1609635 1716944 2146180 2575416 3219270 4292360 5150832 6438540 8584720 9550501 12877080 19101002 25754160 28651503 38202004 47752505 57303006 76404008 95505010 114606012 143257515 152808016 191010020 229212024 286515030 382020040 458424048 573030060 764040080 1146060120 2292120240