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223020096 = 26313199449
BaseRepresentation
bin11010100101100…
…00010001000000
3120112122121001120
431102300101000
5424043120341
634044032240
75345432235
oct1522602100
9515577046
10223020096
11104986332
1262832680
1337287270
142189578c
15148a5066
hexd4b0440

223020096 has 112 divisors (see below), whose sum is σ = 640080000. Its totient is φ = 68124672.

The previous prime is 223020089. The next prime is 223020097. The reversal of 223020096 is 690020322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (223020097) 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, 496480 + ... + 496928.

It is an arithmetic number, because the mean of its divisors is an integer number (5715000).

Almost surely, 2223020096 is an apocalyptic number.

223020096 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 223020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040000).

223020096 is an abundant number, since it is smaller than the sum of its proper divisors (417059904).

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

223020096 is a wasteful number, since it uses less digits than its factorization.

223020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 223020096 is about 14933.8573717576. The cubic root of 223020096 is about 606.4309148521.

The spelling of 223020096 in words is "two hundred twenty-three million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 199 208 312 398 416 449 597 624 796 832 898 1194 1248 1347 1592 1796 2388 2496 2587 2694 3184 3592 4776 5174 5388 5837 6368 7184 7761 9552 10348 10776 11674 12736 14368 15522 17511 19104 20696 21552 23348 28736 31044 35022 38208 41392 43104 46696 62088 70044 82784 86208 89351 93392 124176 140088 165568 178702 186784 248352 268053 280176 357404 373568 496704 536106 560352 714808 1072212 1120704 1161563 1429616 2144424 2323126 2859232 3484689 4288848 4646252 5718464 6969378 8577696 9292504 13938756 17155392 18585008 27877512 37170016 55755024 74340032 111510048 223020096