Search a number
-
+
33101136 = 243425541
BaseRepresentation
bin111111001000…
…1010101010000
32022021201020000
41332101111100
531433214021
63141250000
7551232525
oct176212520
968251200
1033101136
1117759412
12b103900
136b1c693
14457914c
152d8cb26
hex1f91550

33101136 has 50 divisors (see below), whose sum is σ = 95808042. Its totient is φ = 11033280.

The previous prime is 33101129. The next prime is 33101137. The reversal of 33101136 is 63110133.

It can be written as a sum of positive squares in only one way, i.e., 27625536 + 5475600 = 5256^2 + 2340^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33101137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11475 + ... + 14066.

Almost surely, 233101136 is an apocalyptic number.

33101136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33101136 is an abundant number, since it is smaller than the sum of its proper divisors (62706906).

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

33101136 is a wasteful number, since it uses less digits than its factorization.

33101136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25561 (or 25546 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 33101136 is about 5753.3586712459. The cubic root of 33101136 is about 321.0807727559.

Adding to 33101136 its reverse (63110133), we get a palindrome (96211269).

The spelling of 33101136 in words is "thirty-three million, one hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 25541 51082 76623 102164 153246 204328 229869 306492 408656 459738 612984 689607 919476 1225968 1379214 1838952 2068821 2758428 3677904 4137642 5516856 8275284 11033712 16550568 33101136