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2228453376 = 215322669
BaseRepresentation
bin1000010011010011…
…1000000000000000
312202022020011100020
42010310320000000
514030441002001
61005043253440
7106136353422
oct20464700000
95668204306
102228453376
11a439a4006
1252237a280
132968b4686
14171d66812
15d098c736
hex84d38000

2228453376 has 64 divisors (see below), whose sum is σ = 5942713800. Its totient is φ = 742785024.

The previous prime is 2228453333. The next prime is 2228453377. The reversal of 2228453376 is 6733548222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228453377) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86970 + ... + 109638.

Almost surely, 22228453376 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 2228453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971356900).

2228453376 is an abundant number, since it is smaller than the sum of its proper divisors (3714260424).

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

2228453376 is an frugal number, since it uses more digits than its factorization.

2228453376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22702 (or 22674 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 2228453376 is about 47206.4971799434. The cubic root of 2228453376 is about 1306.1744492494.

The spelling of 2228453376 in words is "two billion, two hundred twenty-eight million, four hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 22669 24576 32768 45338 49152 68007 90676 98304 136014 181352 272028 362704 544056 725408 1088112 1450816 2176224 2901632 4352448 5803264 8704896 11606528 17409792 23213056 34819584 46426112 69639168 92852224 139278336 185704448 278556672 371408896 557113344 742817792 1114226688 2228453376