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226240585359616 = 28103291272
BaseRepresentation
bin110011011100001110111101…
…101110010110000100000000
31002200001101111101102200120001
4303130032331232112010000
5214123211204323001431
62121101253505525344
765440225416560332
oct6334167556260400
91080041441380501
10226240585359616
11660a61033a0353
122145ab36343854
13993151b344c59
143dc2161d75452
151b250843e3e61
hexcdc3bdb96100

226240585359616 has 81 divisors (see below), whose sum is σ = 456074396579151. Its totient is φ = 112009763713536.

The previous prime is 226240585359589. The next prime is 226240585359631. The reversal of 226240585359616 is 616953585042622.

The square root of 226240585359616 is 15041296.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24788051245 + ... + 24788060371.

Almost surely, 2226240585359616 is an apocalyptic number.

226240585359616 is the 15041296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226240585359616

226240585359616 is an abundant number, since it is smaller than the sum of its proper divisors (229833811219535).

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

226240585359616 is an frugal number, since it uses more digits than its factorization.

226240585359616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18476 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 64.

226240585359616 divided by its sum of digits (64) gives a square (3535009146244 = 18801622).

The spelling of 226240585359616 in words is "two hundred twenty-six trillion, two hundred forty billion, five hundred eighty-five million, three hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1648 3296 6592 9127 10609 13184 18254 21218 26368 36508 42436 73016 84872 146032 169744 292064 339488 584128 678976 940081 1168256 1357952 1880162 2336512 2715904 3760324 7520648 15041296 30082592 60165184 83302129 96828343 120330368 166604258 193656686 240660736 333208516 387313372 666417032 774626744 1332834064 1549253488 2665668128 3098506976 5331336256 6197013952 8580119287 10662672512 12394027904 17160238574 21325345024 24788055808 34320477148 68640954296 137281908592 274563817184 549127634368 883752286561 1098255268736 1767504573122 2196510537472 3535009146244 7070018292488 14140036584976 28280073169952 56560146339904 113120292679808 226240585359616