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223768896 = 26313372423
BaseRepresentation
bin11010101011001…
…11000101000000
3120121001122012220
431111213011000
5424241101041
634112051040
75355001311
oct1525470500
9517048186
10223768896
1110534797a
1262b33a80
133748a040
1421a0c608
15149a1d66
hexd567140

223768896 has 112 divisors (see below), whose sum is σ = 655100544. Its totient is φ = 66963456.

The previous prime is 223768891. The next prime is 223768903. The reversal of 223768896 is 698867322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223768891) 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, 91141 + ... + 93563.

It is an arithmetic number, because the mean of its divisors is an integer number (5849112).

Almost surely, 2223768896 is an apocalyptic number.

223768896 is a gapful number since it is divisible by the number (26) 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 223768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327550272).

223768896 is an abundant number, since it is smaller than the sum of its proper divisors (431331648).

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

223768896 is a wasteful number, since it uses less digits than its factorization.

223768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 223768896 is about 14958.9069119371. The cubic root of 223768896 is about 607.1088630247.

The spelling of 223768896 in words is "two hundred twenty-three million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 832 888 962 1184 1248 1443 1776 1924 2368 2423 2496 2886 3552 3848 4846 5772 7104 7269 7696 9692 11544 14538 15392 19384 23088 29076 30784 31499 38768 46176 58152 62998 77536 89651 92352 94497 116304 125996 155072 179302 188994 232608 251992 268953 358604 377988 465216 503984 537906 717208 755976 1007968 1075812 1165463 1434416 1511952 2015936 2151624 2330926 2868832 3023904 3496389 4303248 4661852 5737664 6047808 6992778 8606496 9323704 13985556 17212992 18647408 27971112 37294816 55942224 74589632 111884448 223768896