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135994224 = 24329151647
BaseRepresentation
bin10000001101100…
…01101101110000
3100110220020000010
420012301231300
5234303303344
621254454520
73240634422
oct1006615560
9313806003
10135994224
116a846523
1239664440
1322236c72
14140c0812
15be148b9
hex81b1b70

135994224 has 80 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 43411200.

The previous prime is 135994219. The next prime is 135994231. The reversal of 135994224 is 422499531.

It is a super-2 number, since 2×1359942242 = 36988857922724352, which contains 22 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, 209869 + ... + 210515.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2135994224 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 135994224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

135994224 is an abundant number, since it is smaller than the sum of its proper divisors (230410896).

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

135994224 is a wasteful number, since it uses less digits than its factorization.

135994224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 135994224 is about 11661.6561431042. The cubic root of 135994224 is about 514.2490377725.

The spelling of 135994224 in words is "one hundred thirty-five million, nine hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 151 174 232 302 348 453 464 604 647 696 906 1208 1294 1392 1812 1941 2416 2588 3624 3882 4379 5176 7248 7764 8758 10352 13137 15528 17516 18763 26274 31056 35032 37526 52548 56289 70064 75052 97697 105096 112578 150104 195394 210192 225156 293091 300208 390788 450312 586182 781576 900624 1172364 1563152 2344728 2833213 4689456 5666426 8499639 11332852 16999278 22665704 33998556 45331408 67997112 135994224