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33214140 = 22325184523
BaseRepresentation
bin111111010110…
…0111010111100
32022111110020100
41332230322330
532000323030
63143521100
7552213141
oct176547274
968443210
1033214140
1117826303
12b159190
136b5bc4b
1445a83c8
152db1360
hex1facebc

33214140 has 36 divisors (see below), whose sum is σ = 100750104. Its totient is φ = 8857056.

The previous prime is 33214121. The next prime is 33214157. The reversal of 33214140 is 4141233.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×332141402 = 2206358191879200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92082 + ... + 92441.

It is an arithmetic number, because the mean of its divisors is an integer number (2798614).

Almost surely, 233214140 is an apocalyptic number.

33214140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33214140 is an abundant number, since it is smaller than the sum of its proper divisors (67535964).

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

33214140 is a wasteful number, since it uses less digits than its factorization.

33214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184538 (or 184533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33214140 is about 5763.1710021480. The cubic root of 33214140 is about 321.4457370727.

Adding to 33214140 its reverse (4141233), we get a palindrome (37355373).

The spelling of 33214140 in words is "thirty-three million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 184523 369046 553569 738092 922615 1107138 1660707 1845230 2214276 2767845 3321414 3690460 5535690 6642828 8303535 11071380 16607070 33214140