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2252305360 = 245231224079
BaseRepresentation
bin1000011000111111…
…0111001111010000
312210222002222010001
42012033313033100
514103042232420
61011254415344
7106546164634
oct20617671720
95728088101
102252305360
11a56405398
1252a361554
1329b816186
141751b4dc4
15d2aeeb0a
hex863f73d0

2252305360 has 40 divisors (see below), whose sum is σ = 5464293120. Its totient is φ = 861750912.

The previous prime is 2252305351. The next prime is 2252305361. The reversal of 2252305360 is 635032522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252305361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610200 + ... + 613879.

It is an arithmetic number, because the mean of its divisors is an integer number (136607328).

Almost surely, 22252305360 is an apocalyptic number.

2252305360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252305360 is an abundant number, since it is smaller than the sum of its proper divisors (3211987760).

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

2252305360 is a wasteful number, since it uses less digits than its factorization.

2252305360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224115 (or 1224109 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2252305360 is about 47458.4593091685. The cubic root of 2252305360 is about 1310.8180815552.

Adding to 2252305360 its reverse (635032522), we get a palindrome (2887337882).

The spelling of 2252305360 in words is "two billion, two hundred fifty-two million, three hundred five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1224079 2448158 4896316 6120395 9792632 12240790 19585264 24481580 28153817 48963160 56307634 97926320 112615268 140769085 225230536 281538170 450461072 563076340 1126152680 2252305360