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221423130 = 23251728513
BaseRepresentation
bin11010011001010…
…10011000011010
3120102122110102200
431030222120122
5423141020010
633545511030
75326031325
oct1514523032
9512573380
10221423130
11103a95525
12621a2476
1336b48406
142159b7bc
151468bcc0
hexd32a61a

221423130 has 72 divisors (see below), whose sum is σ = 611628732. Its totient is φ = 55566336.

The previous prime is 221423123. The next prime is 221423171. The reversal of 221423130 is 31324122.

221423130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 208484721 + 12938409 = 14439^2 + 3597^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21754 + ... + 30266.

Almost surely, 2221423130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221423130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305814366).

221423130 is an abundant number, since it is smaller than the sum of its proper divisors (390205602).

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

221423130 is a wasteful number, since it uses less digits than its factorization.

221423130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221423130 is about 14880.2933438827. The cubic root of 221423130 is about 604.9799688289.

Adding to 221423130 its reverse (31324122), we get a palindrome (252747252).

The spelling of 221423130 in words is "two hundred twenty-one million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8513 8670 13005 17026 25539 26010 42565 51078 76617 85130 127695 144721 153234 255390 289442 383085 434163 723605 766170 868326 1302489 1447210 2170815 2460257 2604978 4341630 4920514 6512445 7380771 12301285 13024890 14761542 22142313 24602570 36903855 44284626 73807710 110711565 221423130