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135535224 = 233113116561
BaseRepresentation
bin10000001010000…
…01101001111000
3100110000220101010
420011001221320
5234144111344
621240553520
73234013266
oct1005015170
9313026333
10135535224
116a562690
12394828a0
1322106076
1414001436
15bd738b9
hex8141a78

135535224 has 64 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 39744000.

The previous prime is 135535219. The next prime is 135535243. The reversal of 135535224 is 422535531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135535191 and 135535200.

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, 97 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2135535224 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 135535224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

135535224 is an abundant number, since it is smaller than the sum of its proper divisors (246053256).

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

135535224 is a wasteful number, since it uses less digits than its factorization.

135535224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16612 (or 16608 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 135535224 is about 11641.9596288597. The cubic root of 135535224 is about 513.6698309084.

The spelling of 135535224 in words is "one hundred thirty-five million, five hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 16561 33122 49683 66244 99366 132488 182171 198732 364342 397464 513391 546513 728684 1026782 1093026 1457368 1540173 2053564 2186052 3080346 4107128 4372104 5647301 6160692 11294602 12321384 16941903 22589204 33883806 45178408 67767612 135535224