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226222368 = 2535214523
BaseRepresentation
bin11010111101111…
…10000100100000
3120202200021202020
431132332010200
5430403103433
634240421440
75414600301
oct1536760440
9522607666
10226222368
11106773239
1263917880
1337b389b8
142208a7a8
1514cd8cb3
hexd7be120

226222368 has 48 divisors (see below), whose sum is σ = 595105056. Its totient is φ = 75246080.

The previous prime is 226222357. The next prime is 226222369. The reversal of 226222368 is 863222622.

226222368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226222369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47755 + ... + 52277.

It is an arithmetic number, because the mean of its divisors is an integer number (12398022).

Almost surely, 2226222368 is an apocalyptic number.

It is an amenable number.

226222368 is an abundant number, since it is smaller than the sum of its proper divisors (368882688).

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

226222368 is a wasteful number, since it uses less digits than its factorization.

226222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5049 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 226222368 is about 15040.6904096853. The cubic root of 226222368 is about 609.3196463698.

The spelling of 226222368 in words is "two hundred twenty-six million, two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 1042 1563 2084 3126 4168 4523 6252 8336 9046 12504 13569 16672 18092 25008 27138 36184 50016 54276 72368 108552 144736 217104 434208 2356483 4712966 7069449 9425932 14138898 18851864 28277796 37703728 56555592 75407456 113111184 226222368