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226010752 = 2711433733
BaseRepresentation
bin11010111100010…
…10011010000000
3120202021112110121
431132022122000
5430324321002
634232110024
75413026322
oct1536123200
9522245417
10226010752
11106639250
1263835314
1337a93596
1422033612
1514c96237
hexd78a680

226010752 has 64 divisors (see below), whose sum is σ = 502745760. Its totient is φ = 100316160.

The previous prime is 226010749. The next prime is 226010753. The reversal of 226010752 is 257010622.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (226010753) 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, 58678 + ... + 62410.

Almost surely, 2226010752 is an apocalyptic number.

226010752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251372880).

226010752 is an abundant number, since it is smaller than the sum of its proper divisors (276735008).

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

226010752 is a wasteful number, since it uses less digits than its factorization.

226010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 226010752 is about 15033.6539803203. The cubic root of 226010752 is about 609.1295944107.

The spelling of 226010752 in words is "two hundred twenty-six million, ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 473 688 704 946 1376 1408 1892 2752 3733 3784 5504 7466 7568 14932 15136 29864 30272 41063 59728 60544 82126 119456 160519 164252 238912 321038 328504 477824 642076 657008 1284152 1314016 1765709 2568304 2628032 3531418 5136608 5256064 7062836 10273216 14125672 20546432 28251344 56502688 113005376 226010752