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2220705144 = 2332713931699
BaseRepresentation
bin1000010001011101…
…0100010101111000
312201202122111202200
42010113110111320
514022000031034
61004205230200
7106013453010
oct20427242570
95652574680
102220705144
11a3a591709
1251b862360
13295100a18
14170d0ac40
15cee5ba99
hex845d4578

2220705144 has 96 divisors (see below), whose sum is σ = 6923280000. Its totient is φ = 629902656.

The previous prime is 2220705133. The next prime is 2220705163. The reversal of 2220705144 is 4415070222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54207 + ... + 85905.

It is an arithmetic number, because the mean of its divisors is an integer number (72117500).

Almost surely, 22220705144 is an apocalyptic number.

2220705144 is a gapful number since it is divisible by the number (24) 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 2220705144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461640000).

2220705144 is an abundant number, since it is smaller than the sum of its proper divisors (4702574856).

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

2220705144 is a wasteful number, since it uses less digits than its factorization.

2220705144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31857 (or 31850 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2220705144 is about 47124.3582874080. The cubic root of 2220705144 is about 1304.6588547656.

Adding to 2220705144 its reverse (4415070222), we get a palindrome (6635775366).

The spelling of 2220705144 in words is "two billion, two hundred twenty million, seven hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 139 168 252 278 417 504 556 834 973 1112 1251 1668 1946 2502 2919 3336 3892 5004 5838 7784 8757 10008 11676 17514 23352 31699 35028 63398 70056 95097 126796 190194 221893 253592 285291 380388 443786 570582 665679 760776 887572 1141164 1331358 1775144 1997037 2282328 2662716 3994074 4406161 5325432 7988148 8812322 13218483 15976296 17624644 26436966 30843127 35249288 39655449 52873932 61686254 79310898 92529381 105747864 123372508 158621796 185058762 246745016 277588143 317243592 370117524 555176286 740235048 1110352572 2220705144