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2212525044 = 223417223629
BaseRepresentation
bin1000001111100000…
…0111001111110100
312201012020220210000
42003320013033310
514012401300134
61003314031300
7105554103222
oct20370071764
95635226700
102212525044
11a35a048a4
12518b78530
132934c8622
1416dbbbb12
15ce392e99
hex83e073f4

2212525044 has 90 divisors (see below), whose sum is σ = 6144485270. Its totient is φ = 694096128.

The previous prime is 2212525033. The next prime is 2212525057. The reversal of 2212525044 is 4405252122.

2212525044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 267715044 + 1944810000 = 16362^2 + 44100^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2212524999 and 2212525017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 81822 + ... + 105450.

Almost surely, 22212525044 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 2212525044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072242635).

2212525044 is an abundant number, since it is smaller than the sum of its proper divisors (3931960226).

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

2212525044 is a wasteful number, since it uses less digits than its factorization.

2212525044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23679 (or 23651 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2212525044 is about 47037.4855195301. The cubic root of 2212525044 is about 1303.0549541978.

Adding to 2212525044 its reverse (4405252122), we get a palindrome (6617777166).

The spelling of 2212525044 in words is "two billion, two hundred twelve million, five hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 23409 23629 31212 46818 47258 70887 93636 94516 141774 212661 283548 401693 425322 637983 803386 850644 1205079 1275966 1606772 1913949 2410158 2551932 3615237 3827898 4820316 6828781 7230474 7655796 10845711 13657562 14460948 20486343 21691422 27315124 32537133 40972686 43382844 61459029 65074266 81945372 122918058 130148532 184377087 245836116 368754174 553131261 737508348 1106262522 2212525044