Search a number
-
+
700225024 = 2931157281
BaseRepresentation
bin101001101111001…
…001011000000000
31210210121010011011
4221233021120000
52413224200044
6153252130304
723231546242
oct5157113000
91723533134
10700225024
1132a293474
12176606994
13b20ba945
1468dd6092
1541719134
hex29bc9600

700225024 has 80 divisors (see below), whose sum is σ = 1458585216. Its totient is φ = 335462400.

The previous prime is 700224989. The next prime is 700225051. The reversal of 700225024 is 420522007.

It is a junction number, because it is equal to n+sod(n) for n = 700224986 and 700225004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2491764 + ... + 2492044.

Almost surely, 2700225024 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 700225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729292608).

700225024 is an abundant number, since it is smaller than the sum of its proper divisors (758360192).

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

700225024 is a wasteful number, since it uses less digits than its factorization.

700225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 700225024 is about 26461.7653228200. The cubic root of 700225024 is about 887.9991342686. Note that the first 3 decimals are identical.

The spelling of 700225024 in words is "seven hundred million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 157 248 256 281 314 496 512 562 628 992 1124 1256 1984 2248 2512 3968 4496 4867 5024 7936 8711 8992 9734 10048 15872 17422 17984 19468 20096 34844 35968 38936 40192 44117 69688 71936 77872 80384 88234 139376 143872 155744 176468 278752 311488 352936 557504 622976 705872 1115008 1245952 1367627 1411744 2230016 2491904 2735254 2823488 4460032 5470508 5646976 10941016 11293952 21882032 22587904 43764064 87528128 175056256 350112512 700225024