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212224403440 = 2457378972149
BaseRepresentation
bin1100010110100110001…
…1110110011111110000
3202021210021122201111101
43011221203312133300
511434113421402230
6241254453254144
721222055444120
oct3055143663760
9667707581441
10212224403440
1182005163465
1235169634354
1317021b037aa
14a3b3834c80
1557c176eaca
hex31698f67f0

212224403440 has 40 divisors (see below), whose sum is σ = 563910559200. Its totient is φ = 72762652416.

The previous prime is 212224403423. The next prime is 212224403459. The reversal of 212224403440 is 44304422212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212224403399 and 212224403408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189485515 + ... + 189486634.

It is an arithmetic number, because the mean of its divisors is an integer number (14097763980).

Almost surely, 2212224403440 is an apocalyptic number.

212224403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212224403440 is an abundant number, since it is smaller than the sum of its proper divisors (351686155760).

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

212224403440 is a wasteful number, since it uses less digits than its factorization.

212224403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378972169 (or 378972163 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 212224403440 its reverse (44304422212), we get a palindrome (256528825652).

The spelling of 212224403440 in words is "two hundred twelve billion, two hundred twenty-four million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 378972149 757944298 1515888596 1894860745 2652805043 3031777192 3789721490 5305610086 6063554384 7579442980 10611220172 13264025215 15158885960 21222440344 26528050430 30317771920 42444880688 53056100860 106112201720 212224403440