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22159104 = 283114361
BaseRepresentation
bin101010010000…
…1111100000000
31112200210120120
41110201330000
521133042404
62110540240
7356230542
oct124417400
945623516
1022159104
1111565510
127507680
13478b0c6
142d2b692
151e2a9d9
hex1521f00

22159104 has 144 divisors (see below), whose sum is σ = 66912384. Its totient is φ = 6451200.

The previous prime is 22159069. The next prime is 22159121. The reversal of 22159104 is 40195122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 363234 + ... + 363294.

Almost surely, 222159104 is an apocalyptic number.

22159104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33456192).

22159104 is an abundant number, since it is smaller than the sum of its proper divisors (44753280).

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

22159104 is a wasteful number, since it uses less digits than its factorization.

22159104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 22159104 is about 4707.3457489333. The cubic root of 22159104 is about 280.8777895049.

The spelling of 22159104 in words is "twenty-two million, one hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 61 64 66 86 88 96 122 128 129 132 172 176 183 192 244 256 258 264 344 352 366 384 473 488 516 528 671 688 704 732 768 946 976 1032 1056 1342 1376 1408 1419 1464 1892 1952 2013 2064 2112 2623 2684 2752 2816 2838 2928 3784 3904 4026 4128 4224 5246 5368 5504 5676 5856 7568 7808 7869 8052 8256 8448 10492 10736 11008 11352 11712 15136 15616 15738 16104 16512 20984 21472 22704 23424 28853 30272 31476 32208 33024 41968 42944 45408 46848 57706 60544 62952 64416 83936 85888 86559 90816 115412 121088 125904 128832 167872 171776 173118 181632 230824 251808 257664 335744 346236 363264 461648 503616 515328 671488 692472 923296 1007232 1384944 1846592 2014464 2769888 3693184 5539776 7386368 11079552 22159104