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2253116216 = 2313171967073
BaseRepresentation
bin1000011001001011…
…1101001100111000
312211000122011101202
42012102331030320
514103244204331
61011324033332
7106556112641
oct20622751470
95730564352
102253116216
11a5690961a
1252a692848
1329ba3b280
141753466c8
15d2c0eecb
hex864bd338

2253116216 has 64 divisors (see below), whose sum is σ = 5070794400. Its totient is φ = 927203328.

The previous prime is 2253116213. The next prime is 2253116297. The reversal of 2253116216 is 6126113522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253116213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56 + ... + 67128.

Almost surely, 22253116216 is an apocalyptic number.

2253116216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253116216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535397200).

2253116216 is an abundant number, since it is smaller than the sum of its proper divisors (2817678184).

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

2253116216 is a wasteful number, since it uses less digits than its factorization.

2253116216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67128 (or 67124 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 2253116216 is about 47467.0013377715. The cubic root of 2253116216 is about 1310.9753659094.

Adding to 2253116216 its reverse (6126113522), we get a palindrome (8379229738).

The spelling of 2253116216 in words is "two billion, two hundred fifty-three million, one hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1768 1976 2584 4199 8398 16796 33592 67073 134146 268292 536584 871949 1140241 1274387 1743898 2280482 2548774 3487796 4560964 5097548 6975592 9121928 10195096 14823133 16567031 21664579 29646266 33134062 43329158 59292532 66268124 86658316 118585064 132536248 173316632 281639527 563279054 1126558108 2253116216