Search a number
-
+
22114416 = 2431741661
BaseRepresentation
bin101010001011…
…1000001110000
31112121112021110
41110113001300
521130130131
62105553320
7355653342
oct124270160
945545243
1022114416
1111534985
1274a5840
13477396c
142d19292
151e1c646
hex1517070

22114416 has 80 divisors (see below), whose sum is σ = 62058528. Its totient is φ = 6758400.

The previous prime is 22114387. The next prime is 22114451. The reversal of 22114416 is 61441122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22114392 and 22114401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33126 + ... + 33786.

Almost surely, 222114416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31029264).

22114416 is an abundant number, since it is smaller than the sum of its proper divisors (39944112).

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

22114416 is a wasteful number, since it uses less digits than its factorization.

22114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 22114416 is about 4702.5967294677. The cubic root of 22114416 is about 280.6888481431.

Adding to 22114416 its reverse (61441122), we get a palindrome (83555538).

It can be divided in two parts, 22 and 114416, that multiplied together give a palindrome (2517152).

The spelling of 22114416 in words is "twenty-two million, one hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 656 661 697 816 984 1322 1394 1968 1983 2091 2644 2788 3966 4182 5288 5576 7932 8364 10576 11152 11237 15864 16728 22474 27101 31728 33456 33711 44948 54202 67422 81303 89896 108404 134844 162606 179792 216808 269688 325212 433616 460717 539376 650424 921434 1300848 1382151 1842868 2764302 3685736 5528604 7371472 11057208 22114416