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2214001224 = 233253677857
BaseRepresentation
bin1000001111110110…
…1111101001001000
312201022000220201100
42003331233221020
514013241014344
61003405421400
7105602462031
oct20375575110
95638026640
102214001224
11a36822986
1251956a860
132938c44c6
14170083a88
15ce585569
hex83f6fa48

2214001224 has 96 divisors (see below), whose sum is σ = 6125553720. Its totient is φ = 722162688.

The previous prime is 2214001219. The next prime is 2214001261. The reversal of 2214001224 is 4221004122.

It can be written as a sum of positive squares in 4 ways, for example, as 1979360100 + 234641124 = 44490^2 + 15318^2 .

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 = 2214001197 and 2214001206.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2583004 + ... + 2583860.

Almost surely, 22214001224 is an apocalyptic number.

2214001224 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 2214001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062776860).

2214001224 is an abundant number, since it is smaller than the sum of its proper divisors (3911552496).

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

2214001224 is a wasteful number, since it uses less digits than its factorization.

2214001224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2214001224 is about 47053.1744306375. The cubic root of 2214001224 is about 1303.3446859133.

Adding to 2214001224 its reverse (4221004122), we get a palindrome (6435005346).

The spelling of 2214001224 in words is "two billion, two hundred fourteen million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 677 857 954 1272 1354 1714 1908 2031 2571 2708 3428 3816 4062 5142 5416 6093 6856 7713 8124 10284 12186 15426 16248 20568 24372 30852 35881 45421 48744 61704 71762 90842 107643 136263 143524 181684 215286 272526 287048 322929 363368 408789 430572 545052 580189 645858 817578 861144 1090104 1160378 1291716 1635156 1740567 2320756 2583432 3270312 3481134 4641512 5221701 6962268 10443402 13924536 20886804 30750017 41773608 61500034 92250051 123000068 184500102 246000136 276750153 369000204 553500306 738000408 1107000612 2214001224