Search a number
-
+
6423221025 = 34521321372
BaseRepresentation
bin1011111101101101…
…01001001100100001
3121120122102102210000
411332312221030201
5101123321033100
62541211530213
7315113322624
oct57666511441
917518372700
106423221025
1127a6817031
1212b3159969
137b497a900
1444d0d9dbb
15278d86900
hex17eda9321

6423221025 has 135 divisors (see below), whose sum is σ = 12978388731. Its totient is φ = 3139119360.

The previous prime is 6423221003. The next prime is 6423221069. The reversal of 6423221025 is 5201223246.

It is a happy number.

The square root of 6423221025 is 80145.

It is a perfect power (a square), and thus also a powerful number.

6423221025 is a `hidden beast` number, since 6 + 423 + 2 + 210 + 25 = 666.

6423221025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5705838369 + 717382656 = 75537^2 + 26784^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6423221025 - 27 = 6423220897 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6423221025.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 46884757 + ... + 46884893.

Almost surely, 26423221025 is an apocalyptic number.

6423221025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6423221025 is the 80145-th square number.

6423221025 is the 40073-rd centered octagonal number.

It is an amenable number.

6423221025 is an abundant number, since it is smaller than the sum of its proper divisors (6555167706).

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

6423221025 is a wasteful number, since it uses less digits than its factorization.

6423221025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 6423221025 is about 1858.8782908892.

The spelling of 6423221025 in words is "six billion, four hundred twenty-three million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 137 169 195 225 325 351 405 411 507 585 675 685 845 975 1053 1233 1521 1755 1781 2025 2055 2535 2925 3425 3699 4225 4563 5265 5343 6165 7605 8775 8905 10275 11097 12675 13689 16029 18495 18769 22815 23153 26325 26715 30825 38025 44525 48087 55485 56307 68445 69459 80145 92475 93845 114075 115765 133575 144261 168921 208377 240435 243997 277425 281535 342225 347295 400725 469225 506763 578825 625131 721305 731991 844605 1041885 1202175 1219985 1407675 1520289 1736475 1875393 2195973 2533815 3125655 3171961 3606525 3659955 4223025 5209425 6099925 6587919 7601445 9376965 9515883 10979865 12669075 15628275 15859805 18299775 19763757 28547649 32939595 38007225 46884825 47579415 54899325 79299025 85642947 98818785 142738245 164697975 237897075 256928841 428214735 494093925 713691225 1284644205 2141073675 6423221025