Search a number
-
+
28233144 = 2333235683
BaseRepresentation
bin110101110110…
…0110110111000
31222010101121000
41223230312320
524211430034
62445045000
7461656242
oct153546670
958111530
1028233144
1114a33a85
129556760
135b06a04
143a6d092
15272a599
hex1aecdb8

28233144 has 64 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 9000288.

The previous prime is 28233143. The next prime is 28233169. The reversal of 28233144 is 44133282.

It is a super-2 number, since 2×282331442 = 1594220840249472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28233143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127 + ... + 7809.

It is an arithmetic number, because the mean of its divisors is an integer number (1278900).

Almost surely, 228233144 is an apocalyptic number.

28233144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40924800).

28233144 is an abundant number, since it is smaller than the sum of its proper divisors (53616456).

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

28233144 is a wasteful number, since it uses less digits than its factorization.

28233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5711 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 28233144 is about 5313.4869906682. The cubic root of 28233144 is about 304.4993812019.

The spelling of 28233144 in words is "twenty-eight million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 5683 11366 17049 22732 34098 45464 51147 68196 102294 130709 136392 153441 204588 261418 306882 392127 409176 522836 613764 784254 1045672 1176381 1227528 1568508 2352762 3137016 3529143 4705524 7058286 9411048 14116572 28233144