Search a number
-
+
22414404244212 = 223672503106019
BaseRepresentation
bin1010001100010110000101…
…00110100101001011110100
32221100210111101000011000000
411012023002212211023310
510414214144441303322
6115401011332151300
74502246555336031
oct506130246451364
987323441004000
1022414404244212
117161993943082
12262008a768530
13c67891461666
14576c11d34388
1528d0b40e13ac
hex1462c29a52f4

22414404244212 has 84 divisors (see below), whose sum is σ = 58812273586080. Its totient is φ = 7471294558992.

The previous prime is 22414404244187. The next prime is 22414404244217. The reversal of 22414404244212 is 21244240441422.

22414404244212 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 4 + 404 + 244 + 2 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414404244217) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 211365739 + ... + 211471757.

It is an arithmetic number, because the mean of its divisors is an integer number (700146114120).

Almost surely, 222414404244212 is an apocalyptic number.

It is an amenable number.

22414404244212 is an abundant number, since it is smaller than the sum of its proper divisors (36397869341868).

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

22414404244212 is a wasteful number, since it uses less digits than its factorization.

22414404244212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178544 (or 178527 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 22414404244212 its reverse (21244240441422), we get a palindrome (43658644685634).

The spelling of 22414404244212 in words is "twenty-two trillion, four hundred fourteen billion, four hundred four million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 72503 106019 145006 212038 217509 290012 318057 424076 435018 636114 652527 870036 954171 1272228 1305054 1908342 1957581 2610108 2862513 3816684 3915162 5725026 5872743 7830324 8587539 11450052 11745486 17175078 17618229 23490972 25762617 34350156 35236458 51525234 52854687 70472916 77287851 103050468 105709374 154575702 211418748 309151404 7686695557 15373391114 23060086671 30746782228 46120173342 69180260013 92240346684 138360520026 207540780039 276721040052 415081560078 622622340117 830163120156 1245244680234 1867867020351 2490489360468 3735734040702 5603601061053 7471468081404 11207202122106 22414404244212