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2228259696 = 2431313127259
BaseRepresentation
bin1000010011010000…
…1000101101110000
312202021212022122220
42010310020231300
514030413302241
61005035201040
7106134615645
oct20464105560
95667768586
102228259696
11a43881543
125222a6180
13296847480
14171d15dcc
15d0950166
hex84d08b70

2228259696 has 80 divisors (see below), whose sum is σ = 6246683520. Its totient is φ = 680359680.

The previous prime is 2228259673. The next prime is 2228259697. The reversal of 2228259696 is 6969528222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228259697) 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, 68115 + ... + 95373.

It is an arithmetic number, because the mean of its divisors is an integer number (78083544).

Almost surely, 22228259696 is an apocalyptic number.

2228259696 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 2228259696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123341760).

2228259696 is an abundant number, since it is smaller than the sum of its proper divisors (4018423824).

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

2228259696 is a wasteful number, since it uses less digits than its factorization.

2228259696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27414 (or 27408 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 2228259696 is about 47204.4457228342. The cubic root of 2228259696 is about 1306.1366072795.

The spelling of 2228259696 in words is "two billion, two hundred twenty-eight million, two hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 262 312 393 524 624 786 1048 1572 1703 2096 3144 3406 5109 6288 6812 10218 13624 20436 27248 27259 40872 54518 81744 81777 109036 163554 218072 327108 354367 436144 654216 708734 1063101 1308432 1417468 2126202 2834936 3570929 4252404 5669872 7141858 8504808 10712787 14283716 17009616 21425574 28567432 42851148 46422077 57134864 85702296 92844154 139266231 171404592 185688308 278532462 371376616 557064924 742753232 1114129848 2228259696