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120221430 = 23574113963
BaseRepresentation
bin1110010101001…
…10111011110110
322101012212210120
413022212323312
5221234041210
615532432410
72656602540
oct712467366
9271185716
10120221430
116195315a
1234318706
131bba3954
1411d76690
15a84b270
hex72a6ef6

120221430 has 64 divisors (see below), whose sum is σ = 337817088. Its totient is φ = 26807040.

The previous prime is 120221429. The next prime is 120221447. The reversal of 120221430 is 34122021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1629 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (5278392).

Almost surely, 2120221430 is an apocalyptic number.

120221430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168908544).

120221430 is an abundant number, since it is smaller than the sum of its proper divisors (217595658).

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

120221430 is a wasteful number, since it uses less digits than its factorization.

120221430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120221430 is about 10964.5533424759. The cubic root of 120221430 is about 493.5456136387.

Adding to 120221430 its reverse (34122021), we get a palindrome (154343451).

The spelling of 120221430 in words is "one hundred twenty million, two hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 8610 13963 27926 41889 69815 83778 97741 139630 195482 209445 293223 418890 488705 572483 586446 977410 1144966 1466115 1717449 2862415 2932230 3434898 4007381 5724830 8014762 8587245 12022143 17174490 20036905 24044286 40073810 60110715 120221430