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4223120213224 = 2311217256631029
BaseRepresentation
bin111101011101000101100…
…101001000010011101000
3112221201121111201220120001
4331131011211020103220
51023142422233310344
612552024042312344
7614052566346433
oct75350545102350
915851544656501
104223120213224
11138901929a200
125825764b86b4
13248314076a43
14108585c8281a
1574cbe087ed4
hex3d7459484e8

4223120213224 has 48 divisors (see below), whose sum is σ = 9215620287300. Its totient is φ = 1806682437120.

The previous prime is 4223120213159. The next prime is 4223120213227.

4223120213224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3890401208100 + 332719005124 = 1972410^2 + 576818^2 .

It is a super-2 number, since 2×42231202132242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4223120213192 and 4223120213201.

It is not an unprimeable number, because it can be changed into a prime (4223120213227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128299059 + ... + 128331970.

Almost surely, 24223120213224 is an apocalyptic number.

4223120213224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4223120213224 is an abundant number, since it is smaller than the sum of its proper divisors (4992500074076).

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

4223120213224 is a wasteful number, since it uses less digits than its factorization.

4223120213224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256631074 (or 256631059 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4223120 and 213224, that added together give a palindrome (4436344).

The spelling of 4223120213224 in words is "four trillion, two hundred twenty-three billion, one hundred twenty million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 8228 16456 256631029 513262058 1026524116 2053048232 2822941319 4362727493 5645882638 8725454986 11291765276 17450909972 22583530552 31052354509 34901819944 47990002423 62104709018 95980004846 124209418036 191960009692 248418836072 383920019384 527890026653 1055780053306 2111560106612 4223120213224