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221300223102 = 232711327975557
BaseRepresentation
bin1100111000011010000…
…1010110110001111110
3210011012210102010112100
43032012201112301332
512111210324114402
6245355223445530
721663011600550
oct3160641266176
9704183363470
10221300223102
1185942230072
1236a80bb68a6
1317b3a1ac49a
14a9d4d454d0
155b5342671c
hex3386856c7e

221300223102 has 96 divisors (see below), whose sum is σ = 553128069312. Its totient is φ = 62635410432.

The previous prime is 221300223091. The next prime is 221300223127. The reversal of 221300223102 is 201322003122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39820908 + ... + 39826464.

It is an arithmetic number, because the mean of its divisors is an integer number (5761750722).

Almost surely, 2221300223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221300223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276564034656).

221300223102 is an abundant number, since it is smaller than the sum of its proper divisors (331827846210).

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

221300223102 is a wasteful number, since it uses less digits than its factorization.

221300223102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221300223102 its reverse (201322003122), we get a palindrome (422622226224).

The spelling of 221300223102 in words is "two hundred twenty-one billion, three hundred million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 2797 4746 5557 5594 7119 8391 11114 14238 16671 16782 19579 25173 33342 38899 39158 50013 50346 58737 77798 100026 116697 117474 176211 233394 316061 350091 352422 627941 632122 700182 948183 1255882 1883823 1896366 2212427 2844549 3767646 4395587 4424854 5651469 5689098 6637281 8791174 11302938 13186761 13274562 15542929 19911843 26373522 31085858 39560283 39823686 46628787 79120566 93257574 108800503 139886361 217601006 279772722 326401509 652803018 979204527 1756350977 1958409054 3512701954 5269052931 10538105862 12294456839 15807158793 24588913678 31614317586 36883370517 73766741034 110650111551 221300223102