Search a number
-
+
725223456 = 2534833371
BaseRepresentation
bin101011001110100…
…000100000100000
31212112122011120000
4223032200200200
52441124122311
6155544020000
723654204046
oct5316404040
91775564500
10725223456
11342408131
12182a61600
13b7331209
146c462396
1543a06056
hex2b3a0820

725223456 has 120 divisors (see below), whose sum is σ = 2159199504. Its totient is φ = 238757760.

The previous prime is 725223437. The next prime is 725223463. The reversal of 725223456 is 654322527.

It is a super-2 number, since 2×7252234562 = 1051898122265167872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 725223456.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213451 + ... + 216821.

Almost surely, 2725223456 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 725223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079599752).

725223456 is an abundant number, since it is smaller than the sum of its proper divisors (1433976048).

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

725223456 is a wasteful number, since it uses less digits than its factorization.

725223456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3459 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 725223456 is about 26929.9731897379. The cubic root of 725223456 is about 898.4431752157.

The spelling of 725223456 in words is "seven hundred twenty-five million, two hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 83 96 108 144 162 166 216 249 288 324 332 432 498 648 664 747 864 996 1296 1328 1494 1992 2241 2592 2656 2988 3371 3984 4482 5976 6723 6742 7968 8964 10113 11952 13446 13484 17928 20226 23904 26892 26968 30339 35856 40452 53784 53936 60678 71712 80904 91017 107568 107872 121356 161808 182034 215136 242712 273051 279793 323616 364068 485424 546102 559586 728136 839379 970848 1092204 1119172 1456272 1678758 2184408 2238344 2518137 2912544 3357516 4368816 4476688 5036274 6715032 7554411 8737632 8953376 10072548 13430064 15108822 20145096 22663233 26860128 30217644 40290192 45326466 60435288 80580384 90652932 120870576 181305864 241741152 362611728 725223456