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2241122120 = 235239359653
BaseRepresentation
bin1000010110010100…
…1100111101001000
312210012001210120222
42011211030331020
514042211401440
61010215005212
7106352136506
oct20545147510
95705053528
102241122120
11a50067246
12526669808
132993cbb83
14173903676
15d1b412b5
hex8594cf48

2241122120 has 64 divisors (see below), whose sum is σ = 5085504000. Its totient is φ = 888848128.

The previous prime is 2241122113. The next prime is 2241122123. The reversal of 2241122120 is 212211422.

It is not an unprimeable number, because it can be changed into a prime (2241122123) 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, 3431714 + ... + 3432366.

It is an arithmetic number, because the mean of its divisors is an integer number (79461000).

Almost surely, 22241122120 is an apocalyptic number.

2241122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241122120 is an abundant number, since it is smaller than the sum of its proper divisors (2844381880).

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

2241122120 is a wasteful number, since it uses less digits than its factorization.

2241122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

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

The square root of 2241122120 is about 47340.4913366982. The cubic root of 2241122120 is about 1308.6449714674.

Adding to 2241122120 its reverse (212211422), we get a palindrome (2453333542).

The spelling of 2241122120 in words is "two billion, two hundred forty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 239 359 478 653 718 956 1195 1306 1436 1795 1912 2390 2612 2872 3265 3590 4780 5224 6530 7180 9560 13060 14360 26120 85801 156067 171602 234427 312134 343204 429005 468854 624268 686408 780335 858010 937708 1172135 1248536 1560670 1716020 1875416 2344270 3121340 3432040 4688540 6242680 9377080 56028053 112056106 224112212 280140265 448224424 560280530 1120561060 2241122120