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32204142 = 234269739
BaseRepresentation
bin111101011011…
…0010101101110
32020121010210000
41322312111232
531221013032
63110125130
7540505425
oct172662556
966533700
1032204142
11171a64a3
12a9507a6
136897309
1443c42bc
152c61e7c
hex1eb656e

32204142 has 40 divisors (see below), whose sum is σ = 72527400. Its totient is φ = 10680336.

The previous prime is 32204141. The next prime is 32204149. The reversal of 32204142 is 24140223.

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 (32204141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43209 + ... + 43947.

It is an arithmetic number, because the mean of its divisors is an integer number (1813185).

Almost surely, 232204142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32204142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263700).

32204142 is an abundant number, since it is smaller than the sum of its proper divisors (40323258).

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

32204142 is a wasteful number, since it uses less digits than its factorization.

32204142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32204142 is about 5674.8693377029. The cubic root of 32204142 is about 318.1538948953.

Adding to 32204142 its reverse (24140223), we get a palindrome (56344365).

The spelling of 32204142 in words is "thirty-two million, two hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 269 538 739 807 1478 1614 2217 2421 4434 4842 6651 7263 13302 14526 19953 21789 39906 43578 59859 119718 198791 397582 596373 1192746 1789119 3578238 5367357 10734714 16102071 32204142