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223123030224 = 24331739202907
BaseRepresentation
bin1100111111001100101…
…0110100000011010000
3210022220211100022211020
43033303022310003100
512123423443431344
6250300140515440
722056124315203
oct3176312640320
9708824308736
10223123030224
1186698152036
12372ab54bb80
131806aa26593
14ab2907793a
155c0d487719
hex33f32b40d0

223123030224 has 80 divisors (see below), whose sum is σ = 595802818560. Its totient is φ = 71877421440.

The previous prime is 223123030223. The next prime is 223123030259. The reversal of 223123030224 is 422030321322.

It is a super-3 number, since 3×2231230302243 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223123030194 and 223123030203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223123030223) 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, 998179 + ... + 1201085.

It is an arithmetic number, because the mean of its divisors is an integer number (7447535232).

Almost surely, 2223123030224 is an apocalyptic number.

223123030224 is a gapful number since it is divisible by the number (24) 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 223123030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297901409280).

223123030224 is an abundant number, since it is smaller than the sum of its proper divisors (372679788336).

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

223123030224 is a wasteful number, since it uses less digits than its factorization.

223123030224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203688 (or 203682 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223123030224 its reverse (422030321322), we get a palindrome (645153351546).

The spelling of 223123030224 in words is "two hundred twenty-three billion, one hundred twenty-three million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 739 744 1478 1488 2217 2956 4434 5912 8868 11824 17736 22909 35472 45818 68727 91636 137454 183272 202907 274908 366544 405814 549816 608721 811628 1099632 1217442 1623256 2434884 3246512 4869768 6290117 9739536 12580234 18870351 25160468 37740702 50320936 75481404 100641872 149948273 150962808 299896546 301925616 449844819 599793092 899689638 1199586184 1799379276 2399172368 3598758552 4648396463 7197517104 9296792926 13945189389 18593585852 27890378778 37187171704 55780757556 74374343408 111561515112 223123030224