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420424223320 = 235311193284201
BaseRepresentation
bin1100001111000110011…
…11001000101001011000
31111012012002100102020101
412013203033020221120
523342012100121240
6521050142105144
742242334635413
oct6074317105130
91435162312211
10420424223320
11152334571702
126959327b1b4
1330851b8909a
14164c4956b7a
15ae09a1039a
hex61e33c8a58

420424223320 has 64 divisors (see below), whose sum is σ = 977291101440. Its totient is φ = 162607872000.

The previous prime is 420424223299. The next prime is 420424223369. The reversal of 420424223320 is 23322424024.

It is a happy number.

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, 1337220 + ... + 1621420.

It is an arithmetic number, because the mean of its divisors is an integer number (15270173460).

Almost surely, 2420424223320 is an apocalyptic number.

420424223320 is a gapful number since it is divisible by the number (40) 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 420424223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488645550720).

420424223320 is an abundant number, since it is smaller than the sum of its proper divisors (556866878120).

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

420424223320 is a wasteful number, since it uses less digits than its factorization.

420424223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285436 (or 285432 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 420424223320 its reverse (23322424024), we get a palindrome (443746647344).

The spelling of 420424223320 in words is "four hundred twenty billion, four hundred twenty-four million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1193 1240 2386 4772 5965 9544 11930 23860 36983 47720 73966 147932 184915 284201 295864 369830 568402 739660 1136804 1421005 1479320 2273608 2842010 5684020 8810231 11368040 17620462 35240924 44051155 70481848 88102310 176204620 339051793 352409240 678103586 1356207172 1695258965 2712414344 3390517930 6781035860 10510605583 13562071720 21021211166 42042422332 52553027915 84084844664 105106055830 210212111660 420424223320