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226512984 = 233193171567
BaseRepresentation
bin11011000000001…
…01000001011000
3120210020001101210
431200011001120
5430441403414
634250543120
75420220465
oct1540050130
9523201353
10226512984
11106951615
1263a37aa0
1337c0b069
142212466c
1514d44e59
hexd805058

226512984 has 64 divisors (see below), whose sum is σ = 598348800. Its totient is φ = 71259264.

The previous prime is 226512973. The next prime is 226512989. The reversal of 226512984 is 489215622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226512989) 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, 143769 + ... + 145335.

It is an arithmetic number, because the mean of its divisors is an integer number (9349200).

Almost surely, 2226512984 is an apocalyptic number.

226512984 is a gapful number since it is divisible by the number (24) 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 226512984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299174400).

226512984 is an abundant number, since it is smaller than the sum of its proper divisors (371835816).

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

226512984 is a wasteful number, since it uses less digits than its factorization.

226512984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1908 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 226512984 is about 15050.3483016175. The cubic root of 226512984 is about 609.5804550398.

The spelling of 226512984 in words is "two hundred twenty-six million, five hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 317 456 634 951 1268 1567 1902 2536 3134 3804 4701 6023 6268 7608 9402 12046 12536 18069 18804 24092 29773 36138 37608 48184 59546 72276 89319 119092 144552 178638 238184 357276 496739 714552 993478 1490217 1986956 2980434 3973912 5960868 9438041 11921736 18876082 28314123 37752164 56628246 75504328 113256492 226512984