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1225225221 = 311531076547
BaseRepresentation
bin100100100000111…
…0111010000000101
310011101110220000220
41021001313100011
510002124201341
6321324454553
742235146123
oct11101672005
93141426026
101225225221
11579675930
122a23aa459
13166ab704c
14b8a18913
157286ea66
hex49077405

1225225221 has 32 divisors (see below), whose sum is σ = 1833020928. Its totient is φ = 721631040.

The previous prime is 1225225219. The next prime is 1225225223.

1225225221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1225225219) and next prime (1225225223).

It is not a de Polignac number, because 1225225221 - 21 = 1225225219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1225225191 and 1225225200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225225223) 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, 183870 + ... + 190416.

It is an arithmetic number, because the mean of its divisors is an integer number (57281904).

Almost surely, 21225225221 is an apocalyptic number.

1225225221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1225225221 is a deficient number, since it is larger than the sum of its proper divisors (607795707).

1225225221 is a wasteful number, since it uses less digits than its factorization.

1225225221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721.

The product of its digits is 1600, while the sum is 24.

The square root of 1225225221 is about 35003.2172949859. The cubic root of 1225225221 is about 1070.0530503292.

It can be divided in two parts, 12252 and 25221, that added together give a palindrome (37473).

The spelling of 1225225221 in words is "one billion, two hundred twenty-five million, two hundred twenty-five thousand, two hundred twenty-one".

Divisors: 1 3 11 33 53 107 159 321 583 1177 1749 3531 5671 6547 17013 19641 62381 72017 187143 216051 346991 700529 1040973 2101587 3816901 7705819 11450703 23117457 37128037 111384111 408408407 1225225221