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213332420 = 22575328751
BaseRepresentation
bin11001011011100…
…11000111000100
3112212102102001202
430231303013010
5414103114140
633100242032
75200203260
oct1455630704
9485372052
10213332420
11aa469894
125b540318
1335274902
14204930a0
1513ade915
hexcb731c4

213332420 has 48 divisors (see below), whose sum is σ = 521676288. Its totient is φ = 71760000.

The previous prime is 213332411. The next prime is 213332423. The reversal of 213332420 is 24233312.

213332420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 213332392 and 213332401.

It is not an unprimeable number, because it can be changed into a prime (213332423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6956 + ... + 21795.

It is an arithmetic number, because the mean of its divisors is an integer number (10868256).

Almost surely, 2213332420 is an apocalyptic number.

213332420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332420 is an abundant number, since it is smaller than the sum of its proper divisors (308343868).

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

213332420 is a wasteful number, since it uses less digits than its factorization.

213332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 213332420 is about 14605.9036009416. The cubic root of 213332420 is about 597.5197801613.

Adding to 213332420 its reverse (24233312), we get a palindrome (237565732).

The spelling of 213332420 in words is "two hundred thirteen million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 28751 57502 115004 143755 201257 287510 402514 575020 805028 1006285 1523803 2012570 3047606 4025140 6095212 7619015 10666621 15238030 21333242 30476060 42666484 53333105 106666210 213332420