Search a number
-
+
223507728 = 24334112619
BaseRepresentation
bin11010101001001…
…11010100010000
3120120120100222000
431110213110100
5424204221403
634102314000
75352533013
oct1524472420
9516510860
10223507728
11105189734
1262a28900
13373c81c2
142198137a
151494e7a3
hexd527510

223507728 has 80 divisors (see below), whose sum is σ = 657249600. Its totient is φ = 72679680.

The previous prime is 223507717. The next prime is 223507751. The reversal of 223507728 is 827705322.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 223507692 and 223507701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11403 + ... + 24021.

It is an arithmetic number, because the mean of its divisors is an integer number (8215620).

Almost surely, 2223507728 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 223507728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328624800).

223507728 is an abundant number, since it is smaller than the sum of its proper divisors (433741872).

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

223507728 is a wasteful number, since it uses less digits than its factorization.

223507728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 223507728 is about 14950.1748484759. The cubic root of 223507728 is about 606.8725788698.

The spelling of 223507728 in words is "two hundred twenty-three million, five hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 12619 17712 25238 37857 50476 75714 100952 113571 151428 201904 227142 302856 340713 454284 517379 605712 681426 908568 1034758 1362852 1552137 1817136 2069516 2725704 3104274 4139032 4656411 5451408 6208548 8278064 9312822 12417096 13969233 18625644 24834192 27938466 37251288 55876932 74502576 111753864 223507728