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2246801224680 = 2332510161793213
BaseRepresentation
bin100000101100011111110…
…010011111001111101000
321221210101102220002021100
4200230133302133033220
5243302422103142210
64440055523441400
7321216554205165
oct40543762371750
97853342802240
102246801224680
11796954798871
12303541226260
13133b459c2cac
147aa6251506c
153d6a008b5c0
hex20b1fc9f3e8

2246801224680 has 96 divisors (see below), whose sum is σ = 7374402158760. Its totient is φ = 593214835200.

The previous prime is 2246801224673. The next prime is 2246801224763. The reversal of 2246801224680 is 864221086422.

2246801224680 is a `hidden beast` number, since 2 + 2 + 4 + 68 + 0 + 122 + 468 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2155946002596 + 90855222084 = 1468314^2 + 301422^2 .

It is a super-2 number, since 2×22468012246802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30860247 + ... + 30932966.

Almost surely, 22246801224680 is an apocalyptic number.

2246801224680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246801224680 is an abundant number, since it is smaller than the sum of its proper divisors (5127600934080).

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

2246801224680 is a wasteful number, since it uses less digits than its factorization.

2246801224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61793331 (or 61793324 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2246801224680 in words is "two trillion, two hundred forty-six billion, eight hundred one million, two hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 61793213 123586426 185379639 247172852 308966065 370759278 494345704 556138917 617932130 741518556 926898195 1112277834 1235864260 1483037112 1853796390 2224555668 2471728520 2780694585 3707592780 4449111336 5561389170 6241114513 7415185560 11122778340 12482229026 18723343539 22245556680 24964458052 31205572565 37446687078 49928916104 56170030617 62411145130 74893374156 93616717695 112340061234 124822290260 149786748312 187233435390 224680122468 249644580520 280850153085 374466870780 449360244936 561700306170 748933741560 1123400612340 2246801224680