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222288828240 = 2435926203451
BaseRepresentation
bin1100111100000101110…
…0100101011101010000
3210020202200122110211110
43033001130211131100
512120221420000430
6250041301013320
722026344602353
oct3170134453520
9706680573743
10222288828240
11862aa280806
12370b80b4240
1317c66c59c3b
14aa8a36829a
155bb01067b0
hex33c1725750

222288828240 has 40 divisors (see below), whose sum is σ = 689095368288. Its totient is φ = 59277020800.

The previous prime is 222288828169. The next prime is 222288828263. The reversal of 222288828240 is 42828882222.

222288828240 is digitally balanced in base 3, 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 (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 222288828240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463101486 + ... + 463101965.

Almost surely, 2222288828240 is an apocalyptic number.

222288828240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222288828240 is an abundant number, since it is smaller than the sum of its proper divisors (466806540048).

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

222288828240 is a wasteful number, since it uses less digits than its factorization.

222288828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926203467 (or 926203461 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 222288828240 in words is "two hundred twenty-two billion, two hundred eighty-eight million, eight hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 926203451 1852406902 2778610353 3704813804 4631017255 5557220706 7409627608 9262034510 11114441412 13893051765 14819255216 18524069020 22228882824 27786103530 37048138040 44457765648 55572207060 74096276080 111144414120 222288828240