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226064672 = 2537431443
BaseRepresentation
bin11010111100101…
…11100100100000
3120202101021102122
431132113210200
5430333032142
634233203412
75413342451
oct1536274440
9522337378
10226064672
11106675809
1263860568
1337ab1ca2
1422049128
1514ca71d2
hexd797920

226064672 has 48 divisors (see below), whose sum is σ = 459188352. Its totient is φ = 109474560.

The previous prime is 226064593. The next prime is 226064681. The reversal of 226064672 is 276460622.

226064672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260646722 = 102210471852935168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510083 + ... + 510525.

It is an arithmetic number, because the mean of its divisors is an integer number (9566424).

Almost surely, 2226064672 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 226064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229594176).

226064672 is an abundant number, since it is smaller than the sum of its proper divisors (233123680).

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

226064672 is a wasteful number, since it uses less digits than its factorization.

226064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 226064672 is about 15035.4471832400. The cubic root of 226064672 is about 609.1780311272.

The spelling of 226064672 in words is "two hundred twenty-six million, sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 431 443 592 862 886 1184 1724 1772 3448 3544 6896 7088 13792 14176 15947 16391 31894 32782 63788 65564 127576 131128 190933 255152 262256 381866 510304 524512 763732 1527464 3054928 6109856 7064521 14129042 28258084 56516168 113032336 226064672