Search a number
-
+
22416166110 = 23513239240491
BaseRepresentation
bin10100111000000110…
…111000110011011110
32010212012222020001110
4110320012320303132
5331402014303420
614144200122450
71422331160652
oct247006706336
963765866043
1022416166110
119563383418
124417166426
132163133920
141129152a62
158b2e36ee0
hex5381b8cde

22416166110 has 64 divisors (see below), whose sum is σ = 58179824640. Its totient is φ = 5494715520.

The previous prime is 22416166039. The next prime is 22416166117. The reversal of 22416166110 is 1166161422.

It is a super-2 number, since 2×224161661102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22416166117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27036 + ... + 213455.

It is an arithmetic number, because the mean of its divisors is an integer number (909059760).

Almost surely, 222416166110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22416166110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089912320).

22416166110 is an abundant number, since it is smaller than the sum of its proper divisors (35763658530).

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

22416166110 is a wasteful number, since it uses less digits than its factorization.

22416166110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240753.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 22416166110 in words is "twenty-two billion, four hundred sixteen million, one hundred sixty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 239 390 478 717 1195 1434 2390 3107 3585 6214 7170 9321 15535 18642 31070 46605 93210 240491 480982 721473 1202455 1442946 2404910 3126383 3607365 6252766 7214730 9379149 15631915 18758298 31263830 46895745 57477349 93791490 114954698 172432047 287386745 344864094 574773490 747205537 862160235 1494411074 1724320470 2241616611 3736027685 4483233222 7472055370 11208083055 22416166110