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226322532 = 22332299151
BaseRepresentation
bin11010111110101…
…10100001100100
3120202212101011000
431133112201210
5430414310112
634242513300
75415465312
oct1537264144
9522771130
10226322532
11106831517
1263965830
1337b72477
14220b50b2
1514d087dc
hexd7d6864

226322532 has 48 divisors (see below), whose sum is σ = 589388800. Its totient is φ = 75103200.

The previous prime is 226322521. The next prime is 226322533. The reversal of 226322532 is 235223622.

226322532 is a `hidden beast` number, since 2 + 2 + 632 + 25 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226322496 and 226322505.

It is not an unprimeable number, because it can be changed into a prime (226322533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20157 + ... + 29307.

Almost surely, 2226322532 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 226322532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294694400).

226322532 is an abundant number, since it is smaller than the sum of its proper divisors (363066268).

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

226322532 is a wasteful number, since it uses less digits than its factorization.

226322532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9385 counting only the distinct ones).

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

The square root of 226322532 is about 15044.0198085485. The cubic root of 226322532 is about 609.4095621580.

The spelling of 226322532 in words is "two hundred twenty-six million, three hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1374 2061 2748 4122 6183 8244 9151 12366 18302 24732 27453 36604 54906 82359 109812 164718 247077 329436 494154 988308 2095579 4191158 6286737 8382316 12573474 18860211 25146948 37720422 56580633 75440844 113161266 226322532