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223957448 = 23112132372
BaseRepresentation
bin11010101100101…
…01000111001000
3120121102012212022
431112111013020
5424313114243
634120104012
75356415111
oct1526250710
9517365768
10223957448
11105466600
1263005008
1337524b00
1421a5b208
15149dcb68
hexd5951c8

223957448 has 108 divisors (see below), whose sum is σ = 513674595. Its totient is φ = 91428480.

The previous prime is 223957441. The next prime is 223957453. The reversal of 223957448 is 844759322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 126382564 + 97574884 = 11242^2 + 9878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10582.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (63).

It is a junction number, because it is equal to n+sod(n) for n = 223957399 and 223957408.

It is not an unprimeable number, because it can be changed into a prime (223957441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6052886 + ... + 6052922.

Almost surely, 2223957448 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 223957448

223957448 is an abundant number, since it is smaller than the sum of its proper divisors (289717147).

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

223957448 is a wasteful number, since it uses less digits than its factorization.

223957448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 63 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 223957448 is about 14965.2079170321. The cubic root of 223957448 is about 607.2793357094.

The spelling of 223957448 in words is "two hundred twenty-three million, nine hundred fifty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 121 143 148 169 242 286 296 338 407 481 484 572 676 814 962 968 1144 1352 1369 1573 1628 1859 1924 2738 3146 3256 3718 3848 4477 5291 5476 6253 6292 7436 8954 10582 10952 12506 12584 14872 15059 17797 17908 20449 21164 25012 30118 35594 35816 40898 42328 50024 58201 60236 68783 71188 81796 116402 120472 137566 142376 163592 165649 195767 231361 232804 275132 331298 391534 462722 465608 550264 662596 756613 783068 925444 1325192 1513226 1566136 1850888 2153437 2544971 3026452 4306874 5089942 6052904 8613748 10179884 17227496 20359768 27994681 55989362 111978724 223957448