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2230223220 = 223455712411
BaseRepresentation
bin1000010011101110…
…1000000101110100
312202102120002010000
42010323220011310
514031414120340
61005145231300
7106160404341
oct20473500564
95672502100
102230223220
11a449a2795
12522a92530
13297084114
141722a77c8
15d0bdbd30
hex84ee8174

2230223220 has 120 divisors (see below), whose sum is σ = 7011452448. Its totient is φ = 593438400.

The previous prime is 2230223189. The next prime is 2230223227. The reversal of 2230223220 is 223220322.

2230223220 is a `hidden beast` number, since 223 + 0 + 223 + 220 = 666.

It is a super-2 number, since 2×22302232202 = 9947791222054336800, which contains 22 as substring.

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 = 2230223193 and 2230223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230223227) 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, 923815 + ... + 926225.

Almost surely, 22230223220 is an apocalyptic number.

2230223220 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 2230223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505726224).

2230223220 is an abundant number, since it is smaller than the sum of its proper divisors (4781229228).

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

2230223220 is a wasteful number, since it uses less digits than its factorization.

2230223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2230223220 is about 47225.2392264984. The cubic root of 2230223220 is about 1306.5201468999.

Adding to 2230223220 its reverse (223220322), we get a palindrome (2453443542).

The spelling of 2230223220 in words is "two billion, two hundred thirty million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 571 810 1142 1620 1713 2284 2411 2855 3426 4822 5139 5710 6852 7233 8565 9644 10278 11420 12055 14466 15417 17130 20556 21699 24110 25695 28932 30834 34260 36165 43398 46251 48220 51390 61668 65097 72330 77085 86796 92502 102780 108495 130194 144660 154170 185004 195291 216990 231255 260388 308340 325485 390582 433980 462510 650970 781164 925020 976455 1301940 1376681 1952910 2753362 3905820 4130043 5506724 6883405 8260086 12390129 13766810 16520172 20650215 24780258 27533620 37170387 41300430 49560516 61950645 74340774 82600860 111511161 123901290 148681548 185851935 223022322 247802580 371703870 446044644 557555805 743407740 1115111610 2230223220