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22413996 = 22341119331
BaseRepresentation
bin101010110000…
…0001010101100
31120011202020000
41111200022230
521214221441
62120224300
7361341633
oct125401254
946152200
1022413996
1111719a70
12760b090
13484a127
142d9651a
151e7b2b6
hex15602ac

22413996 has 120 divisors (see below), whose sum is σ = 67488960. Its totient is φ = 6415200.

The previous prime is 22413949. The next prime is 22414001. The reversal of 22413996 is 69931422.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22413996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67551 + ... + 67881.

It is an arithmetic number, because the mean of its divisors is an integer number (562408).

Almost surely, 222413996 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 22413996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33744480).

22413996 is an abundant number, since it is smaller than the sum of its proper divisors (45074964).

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

22413996 is a wasteful number, since it uses less digits than its factorization.

22413996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 22413996 is about 4734.3421929556. The cubic root of 22413996 is about 281.9506477691.

It can be divided in two parts, 22413 and 996, that added together give a square (23409 = 1532).

The spelling of 22413996 in words is "twenty-two million, four hundred thirteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 331 342 396 418 513 594 627 662 684 836 891 993 1026 1188 1254 1324 1539 1782 1881 1986 2052 2508 2979 3078 3564 3641 3762 3972 5643 5958 6156 6289 7282 7524 8937 10923 11286 11916 12578 14564 16929 17874 18867 21846 22572 25156 26811 32769 33858 35748 37734 43692 53622 56601 65538 67716 69179 75468 98307 107244 113202 131076 138358 169803 196614 207537 226404 276716 294921 339606 393228 415074 509409 589842 622611 679212 830148 1018818 1179684 1245222 1867833 2037636 2490444 3735666 5603499 7471332 11206998 22413996