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29228144 = 2411712339
BaseRepresentation
bin110111101111…
…1110001110000
32000222221110212
41233133301300
524440300034
62522243252
7503302151
oct157376160
960887425
1029228144
11155535a0
129956528
13609487a
143c4b928
1528752ce
hex1bdfc70

29228144 has 40 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 13092800.

The previous prime is 29228141. The next prime is 29228179. The reversal of 29228144 is 44182292.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29228144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29228141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11327 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 229228144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29228144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

29228144 is an abundant number, since it is smaller than the sum of its proper divisors (33446416).

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

29228144 is a wasteful number, since it uses less digits than its factorization.

29228144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2423 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 29228144 is about 5406.3059476874. The cubic root of 29228144 is about 308.0352464302.

The spelling of 29228144 in words is "twenty-nine million, two hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 2339 3124 4678 6248 9356 12496 18712 25729 37424 51458 102916 166069 205832 332138 411664 664276 1328552 1826759 2657104 3653518 7307036 14614072 29228144