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224224044440 = 23511727700963
BaseRepresentation
bin1101000011010011001…
…0110110010110011000
3210102202120002122101112
43100310302312112120
512133202323410230
6251001311235452
722125323634164
oct3206462662630
9712676078345
10224224044440
118710269a340
1237558218b88
13181b4b70a96
14abd139bca4
155c74e6dd95
hex3434cb6598

224224044440 has 64 divisors (see below), whose sum is σ = 551125935360. Its totient is φ = 81423745920.

The previous prime is 224224044389. The next prime is 224224044461. The reversal of 224224044440 is 44440422422.

It is a junction number, because it is equal to n+sod(n) for n = 224224044397 and 224224044406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30602 + ... + 670361.

It is an arithmetic number, because the mean of its divisors is an integer number (8611342740).

Almost surely, 2224224044440 is an apocalyptic number.

224224044440 is a gapful number since it is divisible by the number (20) 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 224224044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275562967680).

224224044440 is an abundant number, since it is smaller than the sum of its proper divisors (326901890920).

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

224224044440 is a wasteful number, since it uses less digits than its factorization.

224224044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701712 (or 701708 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 224224044440 its reverse (44440422422), we get a palindrome (268664466862).

The spelling of 224224044440 in words is "two hundred twenty-four billion, two hundred twenty-four million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 727 1454 2908 3635 5816 7270 7997 14540 15994 29080 31988 39985 63976 79970 159940 319880 700963 1401926 2803852 3504815 5607704 7009630 7710593 14019260 15421186 28038520 30842372 38552965 61684744 77105930 154211860 308423720 509600101 1019200202 2038400404 2548000505 4076800808 5096001010 5605601111 10192002020 11211202222 20384004040 22422404444 28028005555 44844808888 56056011110 112112022220 224224044440