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2230222032 = 243329672657
BaseRepresentation
bin1000010011101110…
…0111110011010000
312202102120000111000
42010323213303100
514031414101112
61005145222000
7106160401023
oct20473476320
95672500430
102230222032
11a449a1905
12522a91900
1329708370c
141722a71ba
15d0bdb7dc
hex84ee7cd0

2230222032 has 160 divisors (see below), whose sum is σ = 6723676800. Its totient is φ = 706793472.

The previous prime is 2230222021. The next prime is 2230222067. The reversal of 2230222032 is 2302220322.

2230222032 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 = 2230221996 and 2230222014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838048 + ... + 840704.

It is an arithmetic number, because the mean of its divisors is an integer number (42022980).

Almost surely, 22230222032 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 2230222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361838400).

2230222032 is an abundant number, since it is smaller than the sum of its proper divisors (4493454768).

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

2230222032 is a wasteful number, since it uses less digits than its factorization.

2230222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2758 counting only the distinct ones).

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

The square root of 2230222032 is about 47225.2266484768. The cubic root of 2230222032 is about 1306.5199149133.

Adding to 2230222032 its reverse (2302220322), we get a palindrome (4532442354).

It can be divided in two parts, 2 and 230222032, that multiplied together give a palindrome (460444064).

The spelling of 2230222032 in words is "two billion, two hundred thirty million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 67 72 87 108 116 134 144 174 201 216 232 261 268 348 402 432 464 522 536 603 696 783 804 1044 1072 1206 1392 1566 1608 1809 1943 2088 2412 2657 3132 3216 3618 3886 4176 4824 5314 5829 6264 7236 7772 7971 9648 10628 11658 12528 14472 15544 15942 17487 21256 23316 23913 28944 31088 31884 34974 42512 46632 47826 52461 63768 69948 71739 77053 93264 95652 104922 127536 139896 143478 154106 178019 191304 209844 231159 279792 286956 308212 356038 382608 419688 462318 534057 573912 616424 693477 712076 839376 924636 1068114 1147824 1232848 1386954 1424152 1602171 1849272 2080431 2136228 2773908 2848304 3204342 3698544 4160862 4272456 4806513 5162551 5547816 6408684 8321724 8544912 9613026 10325102 11095632 12817368 15487653 16643448 19226052 20650204 25634736 30975306 33286896 38452104 41300408 46462959 61950612 76904208 82600816 92925918 123901224 139388877 185851836 247802448 278777754 371703672 557555508 743407344 1115111016 2230222032