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8225588252 = 2272374724133
BaseRepresentation
bin1111010100100100…
…01000010000011100
3210020020220011210202
413222102020100130
5113321222311002
63440114523032
7410560226600
oct75222102034
923206804722
108225588252
113541148222
121716896478
13a111b92ab
1458062b500
1533220b502
hex1ea48841c

8225588252 has 72 divisors (see below), whose sum is σ = 17564145984. Its totient is φ = 3356857728.

The previous prime is 8225588251. The next prime is 8225588311. The reversal of 8225588252 is 2528855228.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 8225588197 and 8225588206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225588251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328778 + ... + 352910.

It is an arithmetic number, because the mean of its divisors is an integer number (243946472).

Almost surely, 28225588252 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 8225588252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782072992).

8225588252 is an abundant number, since it is smaller than the sum of its proper divisors (9338557732).

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

8225588252 is a wasteful number, since it uses less digits than its factorization.

8225588252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24235 (or 24226 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 47.

The square root of 8225588252 is about 90695.0288163580. The cubic root of 8225588252 is about 2018.6250365995.

The spelling of 8225588252 in words is "eight billion, two hundred twenty-five million, five hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 47 49 74 94 98 148 188 196 259 329 518 658 1036 1316 1739 1813 2303 3478 3626 4606 6956 7252 9212 12173 24133 24346 48266 48692 85211 96532 168931 170422 337862 340844 675724 892921 1134251 1182517 1785842 2268502 2365034 3571684 4537004 4730068 6250447 7939757 12500894 15879514 25001788 31759028 41967287 43753129 55578299 83934574 87506258 111156598 167869148 175012516 222313196 293771009 587542018 1175084036 2056397063 4112794126 8225588252