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213422420 = 225171633851
BaseRepresentation
bin11001011100010…
…01000101010100
3112212120222112002
430232021011110
5414114004140
633102214432
75201026541
oct1456110524
9485528462
10213422420
11aa520472
125b584418
13352a6873
14204b7bc8
1513b0b415
hexcb89154

213422420 has 48 divisors (see below), whose sum is σ = 477586368. Its totient is φ = 79833600.

The previous prime is 213422413. The next prime is 213422431. The reversal of 213422420 is 24224312.

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 = 213422392 and 213422401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53495 + ... + 57345.

It is an arithmetic number, because the mean of its divisors is an integer number (9949716).

Almost surely, 2213422420 is an apocalyptic number.

213422420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238793184).

213422420 is an abundant number, since it is smaller than the sum of its proper divisors (264163948).

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

213422420 is a wasteful number, since it uses less digits than its factorization.

213422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 213422420 is about 14608.9842220464. The cubic root of 213422420 is about 597.6037949266.

Adding to 213422420 its reverse (24224312), we get a palindrome (237646732).

The spelling of 213422420 in words is "two hundred thirteen million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 326 340 652 815 1630 2771 3260 3851 5542 7702 11084 13855 15404 19255 27710 38510 55420 65467 77020 130934 261868 327335 627713 654670 1255426 1309340 2510852 3138565 6277130 10671121 12554260 21342242 42684484 53355605 106711210 213422420