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226323450 = 233522337197
BaseRepresentation
bin11010111110101…
…10101111111010
3120202212102102000
431133112233322
5430414322300
634242521430
75415501063
oct1537265772
9522772360
10226323450
11106832181
1263966276
1337b72a02
14220b556a
1514d08c00
hexd7d6bfa

226323450 has 192 divisors, whose sum is σ = 671742720. Its totient is φ = 55883520.

The previous prime is 226323439. The next prime is 226323451. The reversal of 226323450 is 54323622.

226323450 is a `hidden beast` number, since 22 + 632 + 3 + 4 + 5 + 0 = 666.

226323450 is a nontrivial binomial coefficient, being equal to C(21276, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226323451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148752 + ... + 1148948.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2226323450 is an apocalyptic number.

226323450 is the 21275-th triangular number and also the 10638-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226323450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

226323450 is an abundant number, since it is smaller than the sum of its proper divisors (445419270).

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

226323450 is a wasteful number, since it uses less digits than its factorization.

226323450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 226323450 is about 15044.0503189799. The cubic root of 226323450 is about 609.4103861108.

The spelling of 226323450 in words is "two hundred twenty-six million, three hundred twenty-three thousand, four hundred fifty".