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625064220 = 223251132609
BaseRepresentation
bin100101010000011…
…011100100011100
31121120011112220200
4211100123210130
52240004023340
6142005143500
721326646444
oct4520334434
91546145820
10625064220
112a0918000
121553bab90
139c6630b1
145d02d124
1539d1e330
hex2541b91c

625064220 has 144 divisors (see below), whose sum is σ = 2086287840. Its totient is φ = 151472640.

The previous prime is 625064213. The next prime is 625064291. The reversal of 625064220 is 22460526.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 238276 + ... + 240884.

It is an arithmetic number, because the mean of its divisors is an integer number (14488110).

Almost surely, 2625064220 is an apocalyptic number.

625064220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625064220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043143920).

625064220 is an abundant number, since it is smaller than the sum of its proper divisors (1461223620).

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

625064220 is a wasteful number, since it uses less digits than its factorization.

625064220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2630 counting only the distinct ones).

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

The square root of 625064220 is about 25001.2843670080. The cubic root of 625064220 is about 855.0172562435.

The spelling of 625064220 in words is "six hundred twenty-five million, sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1331 1452 1815 1980 2178 2420 2609 2662 3630 3993 4356 5218 5324 5445 6655 7260 7827 7986 10436 10890 11979 13045 13310 15654 15972 19965 21780 23481 23958 26090 26620 28699 31308 39135 39930 46962 47916 52180 57398 59895 78270 79860 86097 93924 114796 117405 119790 143495 156540 172194 234810 239580 258291 286990 315689 344388 430485 469620 516582 573980 631378 860970 947067 1033164 1262756 1291455 1578445 1721940 1894134 2582910 2841201 3156890 3472579 3788268 4735335 5165820 5682402 6313780 6945158 9470670 10417737 11364804 13890316 14206005 17362895 18941340 20835474 28412010 31253211 34725790 41670948 52088685 56824020 62506422 69451580 104177370 125012844 156266055 208354740 312532110 625064220