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135222507 = 3372179571
BaseRepresentation
bin10000000111101…
…01010011101011
3100102110000102000
420003311103223
5234104110012
621230142043
73231241500
oct1003652353
9312400360
10135222507
116a369742
1239351923
1322026924
1413d5d4a7
15bd10ddc
hex80f54eb

135222507 has 48 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 76703760.

The previous prime is 135222491. The next prime is 135222511. The reversal of 135222507 is 705222531.

135222507 is a `hidden beast` number, since 135 + 2 + 22 + 507 = 666.

135222507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135222507 - 24 = 135222491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135222547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236532 + ... + 237102.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2135222507 is an apocalyptic number.

135222507 is a deficient number, since it is larger than the sum of its proper divisors (99526293).

135222507 is a wasteful number, since it uses less digits than its factorization.

135222507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135222507 is about 11628.5212731456. The cubic root of 135222507 is about 513.2744675382.

The spelling of 135222507 in words is "one hundred thirty-five million, two hundred twenty-two thousand, five hundred seven".

Divisors: 1 3 7 9 21 27 49 63 147 179 189 441 537 571 1253 1323 1611 1713 3759 3997 4833 5139 8771 11277 11991 15417 26313 27979 33831 35973 78939 83937 102209 107919 236817 251811 306627 715463 755433 919881 2146389 2759643 5008241 6439167 15024723 19317501 45074169 135222507