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2230221552 = 2431313127283
BaseRepresentation
bin1000010011101110…
…0111101011110000
312202102112222211020
42010323213223300
514031414042202
61005145215440
7106160366436
oct20473475360
95672488736
102230221552
11a449a1509
12522a91580
13297083430
141722a6d56
15d0bdb5bc
hex84ee7af0

2230221552 has 80 divisors (see below), whose sum is σ = 6252183168. Its totient is φ = 680958720.

The previous prime is 2230221547. The next prime is 2230221559. The reversal of 2230221552 is 2551220322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230221559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68103 + ... + 95385.

Almost surely, 22230221552 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 2230221552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126091584).

2230221552 is an abundant number, since it is smaller than the sum of its proper divisors (4021961616).

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

2230221552 is a wasteful number, since it uses less digits than its factorization.

2230221552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27438 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2230221552 is about 47225.2215664469. The cubic root of 2230221552 is about 1306.5198211812.

Adding to 2230221552 its reverse (2551220322), we get a palindrome (4781441874).

The spelling of 2230221552 in words is "two billion, two hundred thirty million, two hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 262 312 393 524 624 786 1048 1572 1703 2096 3144 3406 5109 6288 6812 10218 13624 20436 27248 27283 40872 54566 81744 81849 109132 163698 218264 327396 354679 436528 654792 709358 1064037 1309584 1418716 2128074 2837432 3574073 4256148 5674864 7148146 8512296 10722219 14296292 17024592 21444438 28592584 42888876 46462949 57185168 85777752 92925898 139388847 171555504 185851796 278777694 371703592 557555388 743407184 1115110776 2230221552