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2229456896 = 212291372
BaseRepresentation
bin1000010011100010…
…1101000000000000
312202101010010220122
42010320231000000
514031220110041
61005120555412
7106151033222
oct20470550000
95671103818
102229456896
11a44519a67
12522782b68
13296b76384
14172148412
15d0ad9c4b
hex84e2d000

2229456896 has 78 divisors (see below), whose sum is σ = 4646017110. Its totient is φ = 1068433408.

The previous prime is 2229456893. The next prime is 2229456913. The reversal of 2229456896 is 6986549222.

It can be written as a sum of positive squares in 3 ways, for example, as 498896896 + 1730560000 = 22336^2 + 41600^2 .

It is a super-2 number, since 2×22294568962 = 9940956102243909632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229456893) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16273340 + ... + 16273476.

Almost surely, 22229456896 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 2229456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323008555).

2229456896 is an abundant number, since it is smaller than the sum of its proper divisors (2416560214).

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

2229456896 is an frugal number, since it uses more digits than its factorization.

2229456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 168 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The square root of 2229456896 is about 47217.1250289553. The cubic root of 2229456896 is about 1306.3704858804.

The spelling of 2229456896 in words is "two billion, two hundred twenty-nine million, four hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 512 548 928 1024 1096 1856 2048 2192 3712 3973 4096 4384 7424 7946 8768 14848 15892 17536 18769 29696 31784 35072 37538 59392 63568 70144 75076 118784 127136 140288 150152 254272 280576 300304 508544 544301 561152 600608 1017088 1088602 1201216 2034176 2177204 2402432 4068352 4354408 4804864 8136704 8708816 9609728 16273408 17417632 19219456 34835264 38438912 69670528 76877824 139341056 278682112 557364224 1114728448 2229456896