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4334220220 = 2251153503739
BaseRepresentation
bin1000000100101011…
…01111001110111100
3102012001121012101211
410002111233032330
532334030021340
61554025214204
7212256156361
oct40225571674
912161535354
104334220220
111924610890
12a0b631364
13540c41365
142d18b4468
151a57935ea
hex10256f3bc

4334220220 has 96 divisors (see below), whose sum is σ = 10150479360. Its totient is φ = 1541180160.

The previous prime is 4334220173. The next prime is 4334220263. The reversal of 4334220220 is 220224334.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4334220191 and 4334220200.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5864611 + ... + 5865349.

It is an arithmetic number, because the mean of its divisors is an integer number (105734160).

Almost surely, 24334220220 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 4334220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075239680).

4334220220 is an abundant number, since it is smaller than the sum of its proper divisors (5816259140).

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

4334220220 is a wasteful number, since it uses less digits than its factorization.

4334220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4334220220 is about 65834.7949036070. The cubic root of 4334220220 is about 1630.4356319917.

Adding to 4334220220 its reverse (220224334), we get a palindrome (4554444554).

The spelling of 4334220220 in words is "four billion, three hundred thirty-four million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 503 530 583 739 1006 1060 1166 1478 2012 2332 2515 2915 2956 3695 5030 5533 5830 7390 8129 10060 11066 11660 14780 16258 22132 26659 27665 32516 39167 40645 53318 55330 78334 81290 106636 110660 133295 156668 162580 195835 266590 293249 371717 391670 430837 533180 586498 743434 783340 861674 1172996 1466245 1486868 1723348 1858585 2154185 2932490 3717170 4088887 4308370 5864980 7434340 8177774 8616740 16355548 19701001 20444435 39402002 40888870 78804004 81777740 98505005 197010010 216711011 394020020 433422022 866844044 1083555055 2167110110 4334220220