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1225210116 = 2231325311399
BaseRepresentation
bin100100100000111…
…0011100100000100
310011101110010022110
41021001303210010
510002123210431
6321324301020
742235054104
oct11101634404
93141403273
101225210116
11579665549
122a23a1770
13166ab0200
14b8a13204
157286a346
hex49073904

1225210116 has 72 divisors (see below), whose sum is σ = 3154334400. Its totient is φ = 369842304.

The previous prime is 1225210099. The next prime is 1225210121. The reversal of 1225210116 is 6110125221.

It is a super-2 number, since 2×12252101162 = 3002279656697466912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1225210092 and 1225210101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101785 + ... + 113183.

It is an arithmetic number, because the mean of its divisors is an integer number (43810200).

Almost surely, 21225210116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225210116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577167200).

1225210116 is an abundant number, since it is smaller than the sum of its proper divisors (1929124284).

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

1225210116 is a wasteful number, since it uses less digits than its factorization.

1225210116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1225210116 is about 35003.0015284404. The cubic root of 1225210116 is about 1070.0486529832.

Adding to 1225210116 its reverse (6110125221), we get a palindrome (7335335337).

The spelling of 1225210116 in words is "one billion, two hundred twenty-five million, two hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 169 212 318 338 507 636 676 689 1014 1378 2028 2067 2756 4134 8268 8957 11399 17914 22798 26871 34197 35828 45596 53742 68394 107484 136788 148187 296374 444561 592748 604147 889122 1208294 1778244 1812441 1926431 2416588 3624882 3852862 5779293 7249764 7705724 7853911 11558586 15707822 23117172 23561733 31415644 47123466 94246932 102100843 204201686 306302529 408403372 612605058 1225210116