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561560220 = 2232513435581
BaseRepresentation
bin100001011110001…
…011101010011100
31110010200012210200
4201132023222130
52122224411340
6131420103500
716626116544
oct4136135234
91403605720
10561560220
11268a93561
12138094b90
138c45a270
145481c324
1534478330
hex2178ba9c

561560220 has 144 divisors (see below), whose sum is σ = 1877427552. Its totient is φ = 134991360.

The previous prime is 561560213. The next prime is 561560221. The reversal of 561560220 is 22065165.

561560220 is a `hidden beast` number, since 56 + 1 + 5 + 602 + 2 + 0 = 666.

561560220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561560221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97830 + ... + 103410.

Almost surely, 2561560220 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 561560220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938713776).

561560220 is an abundant number, since it is smaller than the sum of its proper divisors (1315867332).

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

561560220 is a wasteful number, since it uses less digits than its factorization.

561560220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 561560220 is about 23697.2618671441. The cubic root of 561560220 is about 825.0218396422.

The spelling of 561560220 in words is "five hundred sixty-one million, five hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5581 5590 6708 7740 8385 10062 11162 11180 16743 16770 20124 22324 25155 27905 33486 33540 50229 50310 55810 66972 72553 83715 100458 100620 111620 145106 167430 200916 217659 239983 251145 290212 334860 362765 435318 479966 502290 652977 719949 725530 870636 959932 1004580 1088295 1199915 1305954 1439898 1451060 2159847 2176590 2399830 2611908 2879796 3119779 3264885 3599745 4319694 4353180 4799660 6239558 6529770 7199490 8639388 9359337 10799235 12479116 13059540 14398980 15598895 18718674 21598470 28078011 31197790 37437348 43196940 46796685 56156022 62395580 93593370 112312044 140390055 187186740 280780110 561560220