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4423220120 = 2351131479677
BaseRepresentation
bin1000001111010010…
…01111101110011000
3102102021001212022102
410013221033232120
533024321020440
62010524542532
7214416515324
oct40751175630
912367055272
104423220120
11196a879820
12a353b1a48
13556503017
142dd640984
151ad4c3b15
hex107a4fb98

4423220120 has 128 divisors (see below), whose sum is σ = 11247206400. Its totient is φ = 1551014400.

The previous prime is 4423220117. The next prime is 4423220129. The reversal of 4423220120 is 210223244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4423220092 and 4423220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4423220129) by changing a digit.

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, 6533222 + ... + 6533898.

It is an arithmetic number, because the mean of its divisors is an integer number (87868800).

Almost surely, 24423220120 is an apocalyptic number.

4423220120 is a gapful number since it is divisible by the number (40) 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 4423220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623603200).

4423220120 is an abundant number, since it is smaller than the sum of its proper divisors (6823986280).

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

4423220120 is a wasteful number, since it uses less digits than its factorization.

4423220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4423220120 is about 66507.2937353491. The cubic root of 4423220120 is about 1641.5200214405.

Adding to 4423220120 its reverse (210223244), we get a palindrome (4633443364).

The spelling of 4423220120 in words is "four billion, four hundred twenty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 479 620 677 682 958 1240 1354 1364 1705 1916 2395 2708 2728 3385 3410 3832 4790 5269 5416 6770 6820 7447 9580 10538 13540 13640 14849 14894 19160 20987 21076 26345 27080 29698 29788 37235 41974 42152 52690 59396 59576 74245 74470 83948 104935 105380 118792 148490 148940 163339 167896 209870 210760 230857 296980 297880 324283 326678 419740 461714 593960 648566 653356 816695 839480 923428 1154285 1297132 1306712 1621415 1633390 1846856 2308570 2594264 3242830 3266780 3567113 4617140 6485660 6533560 7134226 9234280 10052773 12971320 14268452 17835565 20105546 28536904 35671130 40211092 50263865 71342260 80422184 100527730 110580503 142684520 201055460 221161006 402110920 442322012 552902515 884644024 1105805030 2211610060 4423220120