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1222211120 = 245134392677
BaseRepresentation
bin100100011011001…
…0111011000110000
310011011210202110112
41020312113120300
510000341223440
6321140120452
742200423504
oct11066273060
93134722415
101222211120
115779a7339
122a1396128
131662a0160
14b8472304
1572476965
hex48d97630

1222211120 has 80 divisors (see below), whose sum is σ = 3068345280. Its totient is φ = 450081792.

The previous prime is 1222211093. The next prime is 1222211129. The reversal of 1222211120 is 211122221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1222211095 and 1222211104.

It is not an unprimeable number, because it can be changed into a prime (1222211129) 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, 455222 + ... + 457898.

It is an arithmetic number, because the mean of its divisors is an integer number (38354316).

Almost surely, 21222211120 is an apocalyptic number.

1222211120 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 1222211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534172640).

1222211120 is an abundant number, since it is smaller than the sum of its proper divisors (1846134160).

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

1222211120 is a wasteful number, since it uses less digits than its factorization.

1222211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1222211120 is about 34960.1361553413. The cubic root of 1222211120 is about 1069.1748726471.

Adding to 1222211120 its reverse (211122221), we get a palindrome (1433333341).

The spelling of 1222211120 in words is "one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 439 520 878 1040 1756 2195 2677 3512 4390 5354 5707 7024 8780 10708 11414 13385 17560 21416 22828 26770 28535 34801 35120 42832 45656 53540 57070 69602 91312 107080 114140 139204 174005 214160 228280 278408 348010 456560 556816 696020 1175203 1392040 2350406 2784080 4700812 5876015 9401624 11752030 15277639 18803248 23504060 30555278 47008120 61110556 76388195 94016240 122221112 152776390 244442224 305552780 611105560 1222211120