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21221440440 = 2335682325919
BaseRepresentation
bin10011110000111001…
…010111101110111000
32000202221212212112120
4103300321113232320
5321430142043230
613425441041240
71350613160514
oct236071275670
960687785476
1021221440440
118aaaa4a332
124143026220
132002768065
1410545d7144
158430de310
hex4f0e57bb8

21221440440 has 64 divisors (see below), whose sum is σ = 63676108800. Its totient is φ = 5658003072.

The previous prime is 21221440421. The next prime is 21221440441. The reversal of 21221440440 is 4404412212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21221440440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221440441) 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, 805801 + ... + 831719.

It is an arithmetic number, because the mean of its divisors is an integer number (994939200).

Almost surely, 221221440440 is an apocalyptic number.

21221440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221440440 is an abundant number, since it is smaller than the sum of its proper divisors (42454668360).

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

21221440440 is a wasteful number, since it uses less digits than its factorization.

21221440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32756 (or 32752 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21221440440 its reverse (4404412212), we get a palindrome (25625852652).

The spelling of 21221440440 in words is "twenty-one billion, two hundred twenty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6823 13646 20469 25919 27292 34115 40938 51838 54584 68230 77757 81876 102345 103676 129595 136460 155514 163752 204690 207352 259190 272920 311028 388785 409380 518380 622056 777570 818760 1036760 1555140 3110280 176845337 353690674 530536011 707381348 884226685 1061072022 1414762696 1768453370 2122144044 2652680055 3536906740 4244288088 5305360110 7073813480 10610720220 21221440440