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223513020 = 22345281491
BaseRepresentation
bin11010101001010…
…00100110111100
3120120120122020000
431110220212330
5424204404040
634102354300
75352554313
oct1524504674
9516518200
10223513020
11105192705
1262a2b990
13373ca733
142198327a
1514951130
hexd5289bc

223513020 has 120 divisors (see below), whose sum is σ = 705097008. Its totient is φ = 59270400.

The previous prime is 223513013. The next prime is 223513021. The reversal of 223513020 is 20315322.

223513020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223512984 and 223513002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223513021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454975 + ... + 455465.

Almost surely, 2223513020 is an apocalyptic number.

223513020 is a gapful number since it is divisible by the number (20) 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 223513020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352548504).

223513020 is an abundant number, since it is smaller than the sum of its proper divisors (481583988).

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

223513020 is a wasteful number, since it uses less digits than its factorization.

223513020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 223513020 is about 14950.3518353248. The cubic root of 223513020 is about 606.8773684795.

Adding to 223513020 its reverse (20315322), we get a palindrome (243828342).

The spelling of 223513020 in words is "two hundred twenty-three million, five hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 281 324 405 491 540 562 810 843 982 1124 1405 1473 1620 1686 1964 2455 2529 2810 2946 3372 4215 4419 4910 5058 5620 5892 7365 7587 8430 8838 9820 10116 12645 13257 14730 15174 16860 17676 22095 22761 25290 26514 29460 30348 37935 39771 44190 45522 50580 53028 66285 75870 79542 88380 91044 113805 132570 137971 151740 159084 198855 227610 265140 275942 397710 413913 455220 551884 689855 795420 827826 1241739 1379710 1655652 2069565 2483478 2759420 3725217 4139130 4966956 6208695 7450434 8278260 11175651 12417390 14900868 18626085 22351302 24834780 37252170 44702604 55878255 74504340 111756510 223513020