Search a number
-
+
4023225450 = 234524124229
BaseRepresentation
bin1110111111001101…
…1000110001101010
3101101101102000210000
43233303120301222
531214421203300
61503115403430
7201461565156
oct35763306152
911341360700
104023225450
111785007912
12943453576
134c1693c9a
142a247c066
15188311c00
hexefcd8c6a

4023225450 has 120 divisors (see below), whose sum is σ = 11451727980. Its totient is φ = 1046649600.

The previous prime is 4023225431. The next prime is 4023225461. The reversal of 4023225450 is 545223204.

It is a happy number.

4023225450 is a `hidden beast` number, since 402 + 3 + 2 + 254 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 75742209 + 3947483241 = 8703^2 + 62829^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153936 + ... + 178164.

Almost surely, 24023225450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725863990).

4023225450 is an abundant number, since it is smaller than the sum of its proper divisors (7428502530).

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

4023225450 is a wasteful number, since it uses less digits than its factorization.

4023225450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24294 (or 24280 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4023225450 is about 63428.9007472146. The cubic root of 4023225450 is about 1590.4674666789.

Adding to 4023225450 its reverse (545223204), we get a palindrome (4568448654).

The spelling of 4023225450 in words is "four billion, twenty-three million, two hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 81 82 90 123 135 150 162 205 225 246 270 369 405 410 450 615 675 738 810 1025 1107 1230 1350 1845 2025 2050 2214 3075 3321 3690 4050 5535 6150 6642 9225 11070 16605 18450 24229 27675 33210 48458 55350 72687 83025 121145 145374 166050 218061 242290 363435 436122 605725 654183 726870 993389 1090305 1211450 1308366 1817175 1962549 1986778 2180610 2980167 3270915 3634350 3925098 4966945 5451525 5960334 6541830 8940501 9812745 9933890 10903050 14900835 16354575 17881002 19625490 24834725 26821503 29801670 32709150 44702505 49063725 49669450 53643006 74504175 80464509 89405010 98127450 134107515 149008350 160929018 223512525 268215030 402322545 447025050 670537575 804645090 1341075150 2011612725 4023225450