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2226524016 = 243234094931
BaseRepresentation
bin1000010010110110…
…0000111101110000
312202011121010202110
42010231200331300
514024442232031
61004534045320
7106114066443
oct20455407560
95664533673
102226524016
11a428a64a2
125217a9840
1329638a442
141719c365a
15d070ac46
hex84b60f70

2226524016 has 80 divisors (see below), whose sum is σ = 6017829120. Its totient is φ = 708026880.

The previous prime is 2226523991. The next prime is 2226524021. The reversal of 2226524016 is 6104256222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449071 + ... + 454001.

It is an arithmetic number, because the mean of its divisors is an integer number (75222864).

Almost surely, 22226524016 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 2226524016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008914560).

2226524016 is an abundant number, since it is smaller than the sum of its proper divisors (3791305104).

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

2226524016 is a wasteful number, since it uses less digits than its factorization.

2226524016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2226524016 is about 47186.0574322543. The cubic root of 2226524016 is about 1305.7973852889.

The spelling of 2226524016 in words is "two billion, two hundred twenty-six million, five hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 409 552 818 1104 1227 1636 2454 3272 4908 4931 6544 9407 9816 9862 14793 18814 19632 19724 28221 29586 37628 39448 56442 59172 75256 78896 112884 113413 118344 150512 225768 226826 236688 340239 451536 453652 680478 907304 1360956 1814608 2016779 2721912 4033558 5443824 6050337 8067116 12100674 16134232 24201348 32268464 46385917 48402696 92771834 96805392 139157751 185543668 278315502 371087336 556631004 742174672 1113262008 2226524016