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221442930 = 23355913901
BaseRepresentation
bin11010011001011…
…11001101110010
3120102200110121000
431030233031302
5423142133210
633550142430
75326143132
oct1514571562
9512613530
10221442930
11103aa9395
12621b1a16
1336b54427
14215a4ac2
1514692ac0
hexd32f372

221442930 has 64 divisors (see below), whose sum is σ = 600566400. Its totient is φ = 58046400.

The previous prime is 221442911. The next prime is 221442937. The reversal of 221442930 is 39244122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221442894 and 221442903.

It is not an unprimeable number, because it can be changed into a prime (221442937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8980 + ... + 22880.

It is an arithmetic number, because the mean of its divisors is an integer number (9383850).

Almost surely, 2221442930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221442930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300283200).

221442930 is an abundant number, since it is smaller than the sum of its proper divisors (379123470).

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

221442930 is a wasteful number, since it uses less digits than its factorization.

221442930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13976 (or 13970 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 221442930 is about 14880.9586384749. The cubic root of 221442930 is about 604.9980010407.

The spelling of 221442930 in words is "two hundred twenty-one million, four hundred forty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7965 13901 15930 27802 41703 69505 83406 125109 139010 208515 250218 375327 417030 625545 750654 820159 1251090 1640318 1876635 2460477 3753270 4100795 4920954 7381431 8201590 12302385 14762862 22144293 24604770 36907155 44288586 73814310 110721465 221442930