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223027506 = 23413137773
BaseRepresentation
bin11010100101100…
…10000100110010
3120112122222020000
431102302010302
5424043340011
634044130430
75345462652
oct1522620462
9515588200
10223027506
11104990959
1262836a16
133728a750
1421898362
15148a7356
hexd4b2132

223027506 has 80 divisors (see below), whose sum is σ = 542818584. Its totient is φ = 68034816.

The previous prime is 223027501. The next prime is 223027513. The reversal of 223027506 is 605720322.

It can be written as a sum of positive squares in 4 ways, for example, as 106193025 + 116834481 = 10305^2 + 10809^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 223027506.

It is not an unprimeable number, because it can be changed into a prime (223027501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288136 + ... + 288908.

Almost surely, 2223027506 is an apocalyptic number.

223027506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223027506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271409292).

223027506 is an abundant number, since it is smaller than the sum of its proper divisors (319791078).

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

223027506 is a wasteful number, since it uses less digits than its factorization.

223027506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 223027506 is about 14934.1054636694. The cubic root of 223027506 is about 606.4376311427.

Adding to 223027506 its reverse (605720322), we get a palindrome (828747828).

The spelling of 223027506 in words is "two hundred twenty-three million, twenty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 137 162 234 274 351 411 702 773 822 1053 1233 1546 1781 2106 2319 2466 3562 3699 4638 5343 6957 7398 10049 10686 11097 13914 16029 20098 20871 22194 30147 32058 41742 48087 60294 62613 90441 96174 105901 125226 144261 180882 211802 271323 288522 317703 542646 635406 813969 953109 1376713 1627938 1906218 2753426 2859327 4130139 5718654 8260278 8577981 12390417 17155962 24780834 37171251 74342502 111513753 223027506