Search a number
-
+
1225310016 = 2637911689
BaseRepresentation
bin100100100001000…
…1011111101000000
310011101122012100110
41021002023331000
510002134410031
6321330351320
742235651260
oct11102137500
93141565313
101225310016
11579723607
122a242b540
13166b16818
14b8a3b7a0
1572889c46
hex4908bf40

1225310016 has 56 divisors (see below), whose sum is σ = 3705108160. Its totient is φ = 350088192.

The previous prime is 1225309997. The next prime is 1225310017. The reversal of 1225310016 is 6100135221.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a junction number, because it is equal to n+sod(n) for n = 1225309974 and 1225310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225310017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454501 + ... + 457188.

Almost surely, 21225310016 is an apocalyptic number.

1225310016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1225310016 is an abundant number, since it is smaller than the sum of its proper divisors (2479798144).

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

1225310016 is an equidigital number, since it uses as much as digits as its factorization.

1225310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911711 (or 911701 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1225310016 is about 35004.4285198316. The cubic root of 1225310016 is about 1070.0777350576.

Adding to 1225310016 its reverse (6100135221), we get a palindrome (7325445237).

The spelling of 1225310016 in words is "one billion, two hundred twenty-five million, three hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 911689 1823378 2735067 3646756 5470134 6381823 7293512 10940268 12763646 14587024 19145469 21880536 25527292 29174048 38290938 43761072 51054584 58348096 76581876 87522144 102109168 153163752 175044288 204218336 306327504 408436672 612655008 1225310016