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22313144 = 2371967313
BaseRepresentation
bin101010100011…
…1100010111000
31112222121212202
41111013202320
521203010034
62114125332
7360441620
oct125074270
945877782
1022313144
1111660217
127580848
134813259
142d6b880
151e5b47e
hex15478b8

22313144 has 64 divisors (see below), whose sum is σ = 51244800. Its totient is φ = 8895744.

The previous prime is 22313131. The next prime is 22313153. The reversal of 22313144 is 44131322.

It is a super-3 number, since 3×223131443 (a number of 23 digits) contains 333 as substring.

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, 71132 + ... + 71444.

It is an arithmetic number, because the mean of its divisors is an integer number (800700).

Almost surely, 222313144 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 22313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25622400).

22313144 is an abundant number, since it is smaller than the sum of its proper divisors (28931656).

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

22313144 is a wasteful number, since it uses less digits than its factorization.

22313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 22313144 is about 4723.6790746197. The cubic root of 22313144 is about 281.5271320047.

Adding to 22313144 its reverse (44131322), we get a palindrome (66444466).

The spelling of 22313144 in words is "twenty-two million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 67 76 133 134 152 266 268 313 469 532 536 626 938 1064 1252 1273 1876 2191 2504 2546 3752 4382 5092 5947 8764 8911 10184 11894 17528 17822 20971 23788 35644 41629 41942 47576 71288 83258 83884 146797 166516 167768 293594 333032 398449 587188 796898 1174376 1593796 2789143 3187592 5578286 11156572 22313144