Search a number
-
+
1222849408 = 27113723473
BaseRepresentation
bin100100011100011…
…0011001110000000
310011020000012000211
41020320303032000
510001022140113
6321201523504
742206022424
oct11070631600
93136005024
101222849408
115782a2950
122a1643594
13166464841
14b859ab84
1572550b3d
hex48e33380

1222849408 has 64 divisors (see below), whose sum is σ = 2729556720. Its totient is φ = 540794880.

The previous prime is 1222849387. The next prime is 1222849417. The reversal of 1222849408 is 8049482221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40360 + ... + 63832.

Almost surely, 21222849408 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 1222849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364778360).

1222849408 is an abundant number, since it is smaller than the sum of its proper divisors (1506707312).

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

1222849408 is a wasteful number, since it uses less digits than its factorization.

1222849408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23535 (or 23523 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1222849408 is about 34969.2637611946. The cubic root of 1222849408 is about 1069.3609623537.

The spelling of 1222849408 in words is "one billion, two hundred twenty-two million, eight hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4736 6512 13024 23473 26048 46946 52096 93892 187784 258203 375568 516406 751136 868501 1032812 1502272 1737002 2065624 3004544 3474004 4131248 6948008 8262496 9553511 13896016 16524992 19107022 27792032 33049984 38214044 55584064 76428088 111168128 152856176 305712352 611424704 1222849408