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22115940 = 22357114787
BaseRepresentation
bin101010001011…
…1011001100100
31112121121100220
41110113121210
521130202230
62110004340
7355660650
oct124273144
945547326
1022115940
1111536040
1274a66b0
134774572
142d19a60
151e1cd10
hex1517664

22115940 has 96 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 4594560.

The previous prime is 22115911. The next prime is 22115941. The reversal of 22115940 is 4951122.

It is a super-2 number, since 2×221159402 = 978229604167200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22115940.

It is not an unprimeable number, because it can be changed into a prime (22115941) 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, 2227 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 222115940 is an apocalyptic number.

22115940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22115940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

22115940 is an abundant number, since it is smaller than the sum of its proper divisors (55104924).

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

22115940 is a wasteful number, since it uses less digits than its factorization.

22115940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 22115940 is about 4702.7587648103. The cubic root of 22115940 is about 280.6952958223.

It can be divided in two parts, 221 and 15940, that added together give a palindrome (16161).

The spelling of 22115940 in words is "twenty-two million, one hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 4787 9574 14361 19148 23935 28722 33509 47870 52657 57444 67018 71805 95740 100527 105314 134036 143610 157971 167545 201054 210628 263285 287220 315942 335090 368599 402108 502635 526570 631884 670180 737198 789855 1005270 1053140 1105797 1474396 1579710 1842995 2010540 2211594 3159420 3685990 4423188 5528985 7371980 11057970 22115940