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2222212120 = 235178339373
BaseRepresentation
bin1000010001110100…
…0100010000011000
312201212111001221121
42010131010100120
514022341241440
61004301415024
7106032330352
oct20435042030
95655431847
102222212120
11a40420947
1252026a474
1329550a91b
141711c00d2
15d015834a
hex84744418

2222212120 has 64 divisors (see below), whose sum is σ = 5358013920. Its totient is φ = 826497024.

The previous prime is 2222212117. The next prime is 2222212129. The reversal of 2222212120 is 212122222.

It is a junction number, because it is equal to n+sod(n) for n = 2222212094 and 2222212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222212129) 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, 36754 + ... + 76126.

Almost surely, 22222212120 is an apocalyptic number.

2222212120 is a gapful number since it is divisible by the number (20) 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 2222212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679006960).

2222212120 is an abundant number, since it is smaller than the sum of its proper divisors (3135801800).

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

2222212120 is a wasteful number, since it uses less digits than its factorization.

2222212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39484 (or 39480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2222212120 is about 47140.3449287338. The cubic root of 2222212120 is about 1304.9539029435.

Adding to 2222212120 its reverse (212122222), we get a palindrome (2434334342).

The spelling of 2222212120 in words is "two billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 83 85 136 166 170 332 340 415 664 680 830 1411 1660 2822 3320 5644 7055 11288 14110 28220 39373 56440 78746 157492 196865 314984 393730 669341 787460 1338682 1574920 2677364 3267959 3346705 5354728 6535918 6693410 13071836 13386820 16339795 26143672 26773640 32679590 55555303 65359180 111110606 130718360 222221212 277776515 444442424 555553030 1111106060 2222212120