Search a number
-
+
29223072 = 2533149227
BaseRepresentation
bin110111101111…
…0100010100000
32000222200112000
41233132202200
524440114242
62522204000
7503251314
oct157364240
960880460
1029223072
111554a7aa
129953600
136092478
143c49b44
152873a4c
hex1bde8a0

29223072 has 96 divisors (see below), whose sum is σ = 86184000. Its totient is φ = 9633024.

The previous prime is 29223071. The next prime is 29223107. The reversal of 29223072 is 27032292.

It is a tau number, because it is divible by the number of its divisors (96).

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 (29223071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128623 + ... + 128849.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 229223072 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 29223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092000).

29223072 is an abundant number, since it is smaller than the sum of its proper divisors (56960928).

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

29223072 is a wasteful number, since it uses less digits than its factorization.

29223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29223072 is about 5405.8368454847. The cubic root of 29223072 is about 308.0174274729.

The spelling of 29223072 in words is "twenty-nine million, two hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 149 216 227 288 298 432 447 454 596 681 864 894 908 1192 1341 1362 1788 1816 2043 2384 2682 2724 3576 3632 4023 4086 4768 5364 5448 6129 7152 7264 8046 8172 10728 10896 12258 14304 16092 16344 21456 21792 24516 32184 32688 33823 42912 49032 64368 65376 67646 98064 101469 128736 135292 196128 202938 270584 304407 405876 541168 608814 811752 913221 1082336 1217628 1623504 1826442 2435256 3247008 3652884 4870512 7305768 9741024 14611536 29223072