Search a number
-
+
22230033231 = 37194310911887
BaseRepresentation
bin10100101101000000…
…110110001101001111
32010101020201200202010
4110231000312031033
5331011342030411
614113510432303
71414611110340
oct245500661517
963336650663
1022230033231
119478301a9a
124384962693
1321336c3423
14110c5400c7
158a191b7a6
hex52d03634f

22230033231 has 64 divisors (see below), whose sum is σ = 36824268800. Its totient is φ = 11645617536.

The previous prime is 22230033211. The next prime is 22230033251. The reversal of 22230033231 is 13233003222.

It is an interprime number because it is at equal distance from previous prime (22230033211) and next prime (22230033251).

It is not a de Polignac number, because 22230033231 - 210 = 22230032207 is a prime.

It is a super-2 number, since 2×222300332312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22230033198 and 22230033207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230033211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1864170 + ... + 1876056.

It is an arithmetic number, because the mean of its divisors is an integer number (575379200).

Almost surely, 222230033231 is an apocalyptic number.

22230033231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22230033231 is a deficient number, since it is larger than the sum of its proper divisors (14594235569).

22230033231 is a wasteful number, since it uses less digits than its factorization.

22230033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22230033231 its reverse (13233003222), we get a palindrome (35463036453).

The spelling of 22230033231 in words is "twenty-two billion, two hundred thirty million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 43 57 109 129 133 301 327 399 763 817 903 2071 2289 2451 4687 5719 6213 11887 14061 14497 17157 32809 35661 43491 83209 89053 98427 225853 249627 267159 511141 623371 677559 1295683 1533423 1580971 1870113 3577987 3887049 4742913 9069781 9711679 10733961 24617977 27209343 29135037 55714369 67981753 73853931 167143107 172325839 203945259 390000583 516977517 1058573011 1170001749 3175719033 7410011077 22230033231