Search a number
-
+
1222114110 = 235721127581
BaseRepresentation
bin100100011010111…
…1111101100111110
310011011121211101120
41020311333230332
510000330122420
6321134051410
742166540620
oct11065775476
93134554346
101222114110
11577940468
122a1349b66
13166267c59
14b8448c10
1572457d40
hex48d7fb3e

1222114110 has 64 divisors (see below), whose sum is σ = 3368093184. Its totient is φ = 278006400.

The previous prime is 1222114109. The next prime is 1222114111. The reversal of 1222114110 is 114112221.

It is an interprime number because it is at equal distance from previous prime (1222114109) and next prime (1222114111).

It is a super-2 number, since 2×12221141102 = 2987125795722184200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1222114110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222114111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30520 + ... + 58100.

It is an arithmetic number, because the mean of its divisors is an integer number (52626456).

Almost surely, 21222114110 is an apocalyptic number.

1222114110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222114110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684046592).

1222114110 is an abundant number, since it is smaller than the sum of its proper divisors (2145979074).

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

1222114110 is a wasteful number, since it uses less digits than its factorization.

1222114110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27809.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1222114110 is about 34958.7486904208. The cubic root of 1222114110 is about 1069.1465841905.

Adding to 1222114110 its reverse (114112221), we get a palindrome (1336226331).

The spelling of 1222114110 in words is "one billion, two hundred twenty-two million, one hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 633 1055 1266 1477 2110 2954 3165 4431 6330 7385 8862 14770 22155 27581 44310 55162 82743 137905 165486 193067 275810 386134 413715 579201 827430 965335 1158402 1930670 2896005 5792010 5819591 11639182 17458773 29097955 34917546 40737137 58195910 81474274 87293865 122211411 174587730 203685685 244422822 407371370 611057055 1222114110