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2210256464 = 241314971317
BaseRepresentation
bin1000001110111101…
…1101011001010000
312201000222122212112
42003233131121100
514011311201324
61003153244452
7105525604253
oct20357353120
95630878775
102210256464
11a346a5439
12518263728
13292bb2b80
1416d78b09a
15ce095c0e
hex83bdd650

2210256464 has 40 divisors (see below), whose sum is σ = 4642801800. Its totient is φ = 1013257728.

The previous prime is 2210256449. The next prime is 2210256467. The reversal of 2210256464 is 4646520122.

2210256464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51724864 + 2158531600 = 7192^2 + 46460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2210256464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210256467) 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, 4667 + ... + 66650.

It is an arithmetic number, because the mean of its divisors is an integer number (116070045).

Almost surely, 22210256464 is an apocalyptic number.

It is an amenable number.

2210256464 is an abundant number, since it is smaller than the sum of its proper divisors (2432545336).

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

2210256464 is a wasteful number, since it uses less digits than its factorization.

2210256464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71487 (or 71481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2210256464 is about 47013.3647381253. The cubic root of 2210256464 is about 1302.6094458230.

Adding to 2210256464 its reverse (4646520122), we get a palindrome (6856776586).

The spelling of 2210256464 in words is "two billion, two hundred ten million, two hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 596 1192 1937 2384 3874 7748 15496 30992 71317 142634 285268 570536 927121 1141072 1854242 3708484 7416968 10626233 14833936 21252466 42504932 85009864 138141029 170019728 276282058 552564116 1105128232 2210256464