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1122224120 = 235415312911
BaseRepresentation
bin100001011100011…
…1100011111111000
32220012122220002022
41002320330133320
54244242132440
6303205054012
736544514303
oct10270743770
92805586068
101122224120
11526514656
122739b7308
1314b662554
14a9085b3a
15687c5cb5
hex42e3c7f8

1122224120 has 64 divisors (see below), whose sum is σ = 2635597440. Its totient is φ = 429644800.

The previous prime is 1122224021. The next prime is 1122224141. The reversal of 1122224120 is 214222211.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80465 + ... + 93375.

It is an arithmetic number, because the mean of its divisors is an integer number (41181210).

Almost surely, 21122224120 is an apocalyptic number.

1122224120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317798720).

1122224120 is an abundant number, since it is smaller than the sum of its proper divisors (1513373320).

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

1122224120 is a wasteful number, since it uses less digits than its factorization.

1122224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1122224120 is about 33499.6137291163. The cubic root of 1122224120 is about 1039.1857902412.

Adding to 1122224120 its reverse (214222211), we get a palindrome (1336446331).

The spelling of 1122224120 in words is "one billion, one hundred twenty-two million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 328 410 424 530 820 1060 1640 2120 2173 4346 8692 10865 12911 17384 21730 25822 43460 51644 64555 86920 103288 129110 258220 516440 529351 684283 1058702 1368566 2117404 2646755 2737132 3421415 4234808 5293510 5474264 6842830 10587020 13685660 21174040 27371320 28055603 56111206 112222412 140278015 224444824 280556030 561112060 1122224120