[go: up one dir, main page]

Search a number
-
+
232224192 = 2633235843
BaseRepresentation
bin11011101011101…
…11010111000000
3121011222012201000
431311313113000
5433422133232
635013212000
75516605314
oct1565672700
9534865630
10232224192
1110a0a2522
1265931000
133915a785
1422badb44
15155c227c
hexdd775c0

232224192 has 112 divisors (see below), whose sum is σ = 712500480. Its totient is φ = 74029824.

The previous prime is 232224143. The next prime is 232224197. The reversal of 232224192 is 291422232.

232224192 is a `hidden beast` number, since 23 + 222 + 419 + 2 = 666.

232224192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (232224197) 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, 36823 + ... + 42665.

Almost surely, 2232224192 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 232224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356250240).

232224192 is an abundant number, since it is smaller than the sum of its proper divisors (480276288).

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

232224192 is a wasteful number, since it uses less digits than its factorization.

232224192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5871 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 232224192 is about 15238.9038975905. The cubic root of 232224192 is about 614.6612292474.

The spelling of 232224192 in words is "two hundred thirty-two million, two hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 5843 6624 9936 11686 13248 17529 19872 23372 35058 39744 46744 52587 70116 93488 105174 134389 140232 157761 186976 210348 268778 280464 315522 373952 403167 420696 537556 560928 631044 806334 841392 1075112 1121856 1209501 1262088 1612668 1682784 2150224 2419002 2524176 3225336 3365568 3628503 4300448 4838004 5048352 6450672 7257006 8600896 9676008 10096704 12901344 14514012 19352016 25802688 29028024 38704032 58056048 77408064 116112096 232224192