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22314006 = 23211138669
BaseRepresentation
bin101010100011…
…1110000010110
31112222200001200
41111013300112
521203022011
62114133330
7360444261
oct125076026
945880050
1022314006
1111660930
127581246
134813770
142d6bcd8
151e5b856
hex1547c16

22314006 has 48 divisors (see below), whose sum is σ = 56805840. Its totient is φ = 6240960.

The previous prime is 22313987. The next prime is 22314011. The reversal of 22314006 is 60041322.

It is a happy number.

It is a super-3 number, since 3×223140063 (a number of 23 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22314006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1761 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (1183455).

Almost surely, 222314006 is an apocalyptic number.

22314006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22314006 is an abundant number, since it is smaller than the sum of its proper divisors (34491834).

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

22314006 is a wasteful number, since it uses less digits than its factorization.

22314006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701 (or 8698 counting only the distinct ones).

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

The square root of 22314006 is about 4723.7703161775. The cubic root of 22314006 is about 281.5307572710.

Adding to 22314006 its reverse (60041322), we get a palindrome (82355328).

It can be divided in two parts, 22 and 314006, that added together give a triangular number (314028 = T792).

The spelling of 22314006 in words is "twenty-two million, three hundred fourteen thousand, six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 8669 17338 26007 52014 78021 95359 112697 156042 190718 225394 286077 338091 572154 676182 858231 1014273 1239667 1716462 2028546 2479334 3719001 7438002 11157003 22314006