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221410605104 = 241323311492951
BaseRepresentation
bin1100111000110100011…
…0011011100000110000
3210011111111010010011122
43032031012123200300
512111422103330404
6245414205401412
721665522043143
oct3161506334060
9704444103148
10221410605104
1185999572767
1236ab1b69268
1317b57019690
14aa0587a05a
155b5ce7c3be
hex338d19b830

221410605104 has 80 divisors (see below), whose sum is σ = 497618817024. Its totient is φ = 94593312000.

The previous prime is 221410605083. The next prime is 221410605107. The reversal of 221410605104 is 401506014122.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (221410605107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598172 + ... + 894779.

Almost surely, 2221410605104 is an apocalyptic number.

It is an amenable number.

221410605104 is an abundant number, since it is smaller than the sum of its proper divisors (276208211920).

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

221410605104 is a wasteful number, since it uses less digits than its factorization.

221410605104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493026 (or 1493020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 221410605104 its reverse (401506014122), we get a palindrome (622916619226).

The spelling of 221410605104 in words is "two hundred twenty-one billion, four hundred ten million, six hundred five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 31 46 52 62 92 104 124 184 208 248 299 368 403 496 598 713 806 1196 1426 1612 2392 2852 3224 4784 5704 6448 9269 11408 18538 37076 74152 148304 1492951 2985902 5971804 11943608 19408363 23887216 34337873 38816726 46281481 68675746 77633452 92562962 137351492 155266904 185125924 274702984 310533808 370251848 446392349 549405968 601659253 740503696 892784698 1064474063 1203318506 1785569396 2128948126 2406637012 3571138792 4257896252 4813274024 7142277584 8515792504 9626548048 13838162819 17031585008 27676325638 55352651276 110705302552 221410605104