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22101214104 = 23328314924821
BaseRepresentation
bin10100100101010101…
…011100001110011000
32010001021100000010100
4110211111130032120
5330230402322404
614053025415400
71411455135354
oct244525341630
963037300110
1022101214104
119411617302
12434979a560
132112acc2a8
1410d93aa464
15895472d39
hex52555c398

22101214104 has 96 divisors (see below), whose sum is σ = 60987654000. Its totient is φ = 7229172480.

The previous prime is 22101214103. The next prime is 22101214111. The reversal of 22101214104 is 40141210122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101214103) 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, 878014 + ... + 902834.

Almost surely, 222101214104 is an apocalyptic number.

22101214104 is a gapful number since it is divisible by the number (24) 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 22101214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493827000).

22101214104 is an abundant number, since it is smaller than the sum of its proper divisors (38886439896).

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

22101214104 is a wasteful number, since it uses less digits than its factorization.

22101214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25065 (or 25058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22101214104 its reverse (40141210122), we get a palindrome (62242424226).

The spelling of 22101214104 in words is "twenty-two billion, one hundred one million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 149 166 249 298 332 447 498 596 664 747 894 996 1192 1341 1494 1788 1992 2682 2988 3576 5364 5976 10728 12367 24734 24821 37101 49468 49642 74202 74463 98936 99284 111303 148404 148926 198568 222606 223389 296808 297852 445212 446778 595704 890424 893556 1787112 2060143 3698329 4120286 6180429 7396658 8240572 11094987 12360858 14793316 16481144 18541287 22189974 24721716 29586632 33284961 37082574 44379948 49443432 66569922 74165148 88759896 133139844 148330296 266279688 306961307 613922614 920883921 1227845228 1841767842 2455690456 2762651763 3683535684 5525303526 7367071368 11050607052 22101214104