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4221342100 = 2252193077237
BaseRepresentation
bin1111101110011100…
…1001000110010100
3101220012012101201201
43323213021012110
532121130421400
61534514002244
7206415546553
oct37347110624
911805171651
104221342100
111876923888
12999876384
1352373bc81
142c08cdd9a
1519a8e806a
hexfb9c9194

4221342100 has 72 divisors (see below), whose sum is σ = 9675179360. Its totient is φ = 1594235520.

The previous prime is 4221342091. The next prime is 4221342107. The reversal of 4221342100 is 12431224.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221342107) 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 23 ways as a sum of consecutive naturals, for example, 579682 + ... + 586918.

Almost surely, 24221342100 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 4221342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837589680).

4221342100 is an abundant number, since it is smaller than the sum of its proper divisors (5453837260).

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

4221342100 is a wasteful number, since it uses less digits than its factorization.

4221342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4221342100 is about 64971.8562148258. The cubic root of 4221342100 is about 1616.1568837046.

Adding to 4221342100 its reverse (12431224), we get a palindrome (4233773324).

The spelling of 4221342100 in words is "four billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 307 380 475 614 950 1228 1535 1900 3070 5833 6140 7237 7675 11666 14474 15350 23332 28948 29165 30700 36185 58330 72370 116660 137503 144740 145825 180925 275006 291650 361850 550012 583300 687515 723700 1375030 2221759 2750060 3437575 4443518 6875150 8887036 11108795 13750300 22217590 42213421 44435180 55543975 84426842 111087950 168853684 211067105 222175900 422134210 844268420 1055335525 2110671050 4221342100