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22441022224012 = 22721974331342247
BaseRepresentation
bin1010001101000111101010…
…01010000111011010001100
32221110100012102102121211201
411012203311022013122030
510420133203142132022
6115421132511555244
74504211310413500
oct506436512073214
987410172377751
1022441022224012
117172203011297
122625278b2bb24
13c6a243c57672
14578219132300
1528db20d65127
hex1468f528768c

22441022224012 has 72 divisors (see below), whose sum is σ = 46021479999264. Its totient is φ = 9546654878208.

The previous prime is 22441022223967. The next prime is 22441022224013. The reversal of 22441022224012 is 21042222014422.

It is a super-2 number, since 2×224410222240122 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22441022224013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16047873 + ... + 17390119.

It is an arithmetic number, because the mean of its divisors is an integer number (639187222212).

Almost surely, 222441022224012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22441022224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010739999632).

22441022224012 is an abundant number, since it is smaller than the sum of its proper divisors (23580457775252).

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

22441022224012 is a wasteful number, since it uses less digits than its factorization.

22441022224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342895 (or 1342886 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 22441022224012 its reverse (21042222014422), we get a palindrome (43483244238434).

The spelling of 22441022224012 in words is "twenty-two trillion, four hundred forty-one billion, twenty-two million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 197 394 433 788 866 1379 1732 2758 3031 5516 6062 9653 12124 19306 21217 38612 42434 84868 85301 170602 341204 597107 1194214 1342247 2388428 2684494 4179749 5368988 8359498 9395729 16718996 18791458 37582916 65770103 131540206 263080412 264422659 528845318 581192951 1057690636 1162385902 1850958613 2324771804 3701917226 4068350657 7403834452 8136701314 12956710291 16273402628 25913420582 28478454599 51826841164 56956909198 113913818396 114495011347 228990022694 457980045388 801465079429 1602930158858 3205860317716 5610255556003 11220511112006 22441022224012