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4222530352224 = 253237396258479
BaseRepresentation
bin111101011100100010011…
…010111111010001100000
3112221200002101210212101100
4331130202122333101200
51023140220232232344
612551445331434400
7614032144536162
oct75344232772140
915850071725340
104222530352224
111388846336978
12582430a55a00
1324824babb072
1410852b7b8932
1574c873be569
hex3d7226bf460

4222530352224 has 72 divisors (see below), whose sum is σ = 12332356414560. Its totient is φ = 1369469299968.

The previous prime is 4222530352211. The next prime is 4222530352231.

4222530352224 is a `hidden beast` number, since 42 + 22 + 53 + 0 + 3 + 522 + 24 = 666.

4222530352224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198118584 + ... + 198139895.

It is an arithmetic number, because the mean of its divisors is an integer number (171282727980).

Almost surely, 24222530352224 is an apocalyptic number.

It is an amenable number.

4222530352224 is an abundant number, since it is smaller than the sum of its proper divisors (8109826062336).

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

4222530352224 is a wasteful number, since it uses less digits than its factorization.

4222530352224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396258532 (or 396258521 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4222530 and 352224, that added together give a palindrome (4574754).

The spelling of 4222530352224 in words is "four trillion, two hundred twenty-two billion, five hundred thirty million, three hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 396258479 792516958 1188775437 1585033916 2377550874 3170067832 3566326311 4755101748 6340135664 7132652622 9510203496 12680271328 14265305244 14661563723 19020406992 28530610488 29323127446 38040813984 43984691169 57061220976 58646254892 87969382338 114122441952 117292509784 131954073507 175938764676 234585019568 263908147014 351877529352 469170039136 527816294028 703755058704 1055632588056 1407510117408 2111265176112 4222530352224