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22402116 = 223311109173
BaseRepresentation
bin101010101110…
…1010001000100
31120011010221000
41111131101010
521213331431
62120053300
7361262202
oct125352104
946133830
1022402116
1111711050
127604230
1348448b9
142d92072
151e779e6
hex155d444

22402116 has 96 divisors (see below), whose sum is σ = 64310400. Its totient is φ = 6687360.

The previous prime is 22402091. The next prime is 22402169. The reversal of 22402116 is 61120422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129406 + ... + 129578.

It is an arithmetic number, because the mean of its divisors is an integer number (669900).

Almost surely, 222402116 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 22402116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155200).

22402116 is an abundant number, since it is smaller than the sum of its proper divisors (41908284).

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

22402116 is a wasteful number, since it uses less digits than its factorization.

22402116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22402116 is about 4733.0873645011. The cubic root of 22402116 is about 281.9008252437.

Adding to 22402116 its reverse (61120422), we get a palindrome (83522538).

It can be divided in two parts, 2240 and 2116, that added together give a square (4356 = 662).

The spelling of 22402116 in words is "twenty-two million, four hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 173 198 218 297 327 346 396 436 519 594 654 692 981 1038 1188 1199 1308 1557 1903 1962 2076 2398 2943 3114 3597 3806 3924 4671 4796 5709 5886 6228 7194 7612 9342 10791 11418 11772 14388 17127 18684 18857 21582 22836 32373 34254 37714 43164 51381 56571 64746 68508 75428 102762 113142 129492 169713 205524 207427 226284 339426 414854 509139 622281 678852 829708 1018278 1244562 1866843 2036556 2489124 3733686 5600529 7467372 11201058 22402116