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226329552 = 2434174637
BaseRepresentation
bin11010111110110…
…00001111010000
3120202212201210000
431133120033100
5430420021202
634243010000
75415524631
oct1537301720
9522781700
10226329552
11106836819
1263969900
1337b75717
14220b7888
1514d0a91c
hexd7d83d0

226329552 has 50 divisors (see below), whose sum is σ = 655067138. Its totient is φ = 75442752.

The previous prime is 226329547. The next prime is 226329559. The reversal of 226329552 is 255923622.

It is a happy number.

226329552 is a `hidden beast` number, since 22 + 63 + 29 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213627456 + 12702096 = 14616^2 + 3564^2 .

It is a super-2 number, since 2×2263295522 = 102450132217041408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226329559) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 86023 + ... + 88614.

Almost surely, 2226329552 is an apocalyptic number.

It is an amenable number.

226329552 is an abundant number, since it is smaller than the sum of its proper divisors (428737586).

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

226329552 is a wasteful number, since it uses less digits than its factorization.

226329552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174657 (or 174642 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 226329552 is about 15044.2531220397. The cubic root of 226329552 is about 609.4158629166.

The spelling of 226329552 in words is "two hundred twenty-six million, three hundred twenty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 174637 349274 523911 698548 1047822 1397096 1571733 2095644 2794192 3143466 4191288 4715199 6286932 8382576 9430398 12573864 14145597 18860796 25147728 28291194 37721592 56582388 75443184 113164776 226329552