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22150728936 = 2333799114783
BaseRepresentation
bin10100101000010010…
…010100110011101000
32010011201111121201000
4110220102110303220
5330331041311221
614101554555000
71412626042440
oct245022246350
963151447630
1022150728936
119437566556
124362298a60
1321201478cb
141101bb9120
158999a3e26
hex528494ce8

22150728936 has 128 divisors (see below), whose sum is σ = 70395494400. Its totient is φ = 6321965760.

The previous prime is 22150728917. The next prime is 22150728937. The reversal of 22150728936 is 63982705122.

It is a super-2 number, since 2×221507289362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22150728891 and 22150728900.

It is not an unprimeable number, because it can be changed into a prime (22150728937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491001 + ... + 1505783.

It is an arithmetic number, because the mean of its divisors is an integer number (549964800).

Almost surely, 222150728936 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 22150728936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35197747200).

22150728936 is an abundant number, since it is smaller than the sum of its proper divisors (48244765464).

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

22150728936 is a wasteful number, since it uses less digits than its factorization.

22150728936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15796 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22150728936 in words is "twenty-two billion, one hundred fifty million, seven hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 991 1512 1982 2973 3964 5946 6937 7928 8919 11892 13874 14783 17838 20811 23784 26757 27748 29566 35676 41622 44349 53514 55496 59132 62433 71352 83244 88698 103481 107028 118264 124866 133047 166488 177396 187299 206962 214056 249732 266094 310443 354792 374598 399141 413924 499464 532188 620886 749196 798282 827848 931329 1064376 1241772 1498392 1596564 1862658 2483544 2793987 3193128 3725316 5587974 7450632 11175948 14649953 22351896 29299906 43949859 58599812 87899718 102549671 117199624 131849577 175799436 205099342 263699154 307649013 351598872 395548731 410198684 527398308 615298026 791097462 820397368 922947039 1054796616 1230596052 1582194924 1845894078 2461192104 2768841117 3164389848 3691788156 5537682234 7383576312 11075364468 22150728936