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223382916 = 2232472532
BaseRepresentation
bin11010101000010…
…00110110000100
3120120100000202100
431110020312010
5424141223131
634055512100
75351503101
oct1524106604
9516300670
10223382916
11105103989
1262988630
1337383453
142194baa8
15149277e6
hexd508d84

223382916 has 81 divisors (see below), whose sum is σ = 588022981. Its totient is φ = 71501664.

The previous prime is 223382899. The next prime is 223382927. The reversal of 223382916 is 619283322.

The square root of 223382916 is 14946.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161036100 + 62346816 = 12690^2 + 7896^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4214746 + ... + 4214798.

Almost surely, 2223382916 is an apocalyptic number.

223382916 is the 14946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223382916

223382916 is an abundant number, since it is smaller than the sum of its proper divisors (364640065).

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

223382916 is a wasteful number, since it uses less digits than its factorization.

223382916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 223382916 is about 606.7595938370.

Multiplying 223382916 by its sum of digits (36), we get a square (8041784976 = 896762).

223382916 divided by its sum of digits (36) gives a square (6205081 = 24912).

The spelling of 223382916 in words is "two hundred twenty-three million, three hundred eighty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 53 94 106 141 159 188 212 282 318 423 477 564 636 846 954 1692 1908 2209 2491 2809 4418 4982 5618 6627 7473 8427 8836 9964 11236 13254 14946 16854 19881 22419 25281 26508 29892 33708 39762 44838 50562 79524 89676 101124 117077 132023 234154 264046 351231 396069 468308 528092 702462 792138 1053693 1188207 1404924 1584276 2107386 2376414 4214772 4752828 6205081 12410162 18615243 24820324 37230486 55845729 74460972 111691458 223382916