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135224190 = 23256124631
BaseRepresentation
bin10000000111101…
…01101101111110
3100102110002201100
420003311231332
5234104133230
621230153530
73231246423
oct1003655576
9312402640
10135224190
116a36aa32
12393528a6
132202761a
1413d5dd4a
15bd11660
hex80f5b7e

135224190 has 48 divisors (see below), whose sum is σ = 357361056. Its totient is φ = 35467200.

The previous prime is 135224189. The next prime is 135224209. The reversal of 135224190 is 91422531.

135224190 is a `hidden beast` number, since 13 + 522 + 41 + 90 = 666.

It is a super-2 number, since 2×1352241902 = 36571163122312200, 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 23 ways as a sum of consecutive naturals, for example, 6826 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (7445022).

Almost surely, 2135224190 is an apocalyptic number.

135224190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135224190 is an abundant number, since it is smaller than the sum of its proper divisors (222136866).

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

135224190 is a wasteful number, since it uses less digits than its factorization.

135224190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24705 (or 24702 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135224190 is about 11628.5936380974. The cubic root of 135224190 is about 513.2765969602.

The spelling of 135224190 in words is "one hundred thirty-five million, two hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 24631 49262 73893 123155 147786 221679 246310 369465 443358 738930 1108395 1502491 2216790 3004982 4507473 7512455 9014946 13522419 15024910 22537365 27044838 45074730 67612095 135224190