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22133034 = 2337115323
BaseRepresentation
bin101010001101…
…1100100101010
31112122110211000
41110123210222
521131224114
62110215430
7356061540
oct124334452
945573730
1022133034
1111547970
1274b4576
13477c291
142d21d90
151e22e09
hex151b92a

22133034 has 64 divisors (see below), whose sum is σ = 61332480. Its totient is φ = 5747760.

The previous prime is 22133021. The next prime is 22133077. The reversal of 22133034 is 43033122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22132998 and 22133016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497 + ... + 6819.

It is an arithmetic number, because the mean of its divisors is an integer number (958320).

Almost surely, 222133034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30666240).

22133034 is an abundant number, since it is smaller than the sum of its proper divisors (39199446).

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

22133034 is a wasteful number, since it uses less digits than its factorization.

22133034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 22133034 is about 4704.5758576093. The cubic root of 22133034 is about 280.7675961585.

Adding to 22133034 its reverse (43033122), we get a palindrome (65166156).

The spelling of 22133034 in words is "twenty-two million, one hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 5323 10646 15969 31938 37261 47907 58553 74522 95814 111783 117106 143721 175659 223566 287442 335349 351318 409871 526977 670698 819742 1006047 1053954 1229613 1580931 2012094 2459226 3161862 3688839 7377678 11066517 22133034