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22233042 = 237131723
BaseRepresentation
bin101010011001…
…1111111010010
31112211120000000
41110303333102
521142424132
62112310430
7356656236
oct124637722
945746000
1022233042
1111606017
127542416
1347b5960
142d4a5c6
151e4287c
hex1533fd2

22233042 has 128 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 6158592.

The previous prime is 22233017. The next prime is 22233047. The reversal of 22233042 is 24033222.

It is a super-3 number, since 3×222330423 (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 not an unprimeable number, because it can be changed into a prime (22233047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966643 + ... + 966665.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 222233042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22233042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

22233042 is an abundant number, since it is smaller than the sum of its proper divisors (37279278).

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

22233042 is a wasteful number, since it uses less digits than its factorization.

22233042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22233042 is about 4715.1926789899. The cubic root of 22233042 is about 281.1898431339.

Adding to 22233042 its reverse (24033222), we get a palindrome (46266264).

The spelling of 22233042 in words is "twenty-two million, two hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 23 26 27 34 39 46 51 54 69 78 81 102 117 138 153 162 207 221 234 243 299 306 351 391 414 442 459 486 598 621 663 702 729 782 897 918 1053 1173 1242 1326 1377 1458 1794 1863 1989 2106 2187 2346 2691 2754 3159 3519 3726 3978 4131 4374 5083 5382 5589 5967 6318 7038 8073 8262 9477 10166 10557 11178 11934 12393 15249 16146 16767 17901 18954 21114 24219 24786 28431 30498 31671 33534 35802 37179 45747 48438 50301 53703 56862 63342 72657 74358 91494 95013 100602 107406 137241 145314 161109 190026 217971 274482 285039 322218 411723 435942 483327 570078 653913 823446 855117 966654 1235169 1307826 1710234 2470338 3705507 7411014 11116521 22233042