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420022240 = 25511238649
BaseRepresentation
bin11001000010010…
…000011111100000
31002021100100012021
4121002100133200
51330011202430
6105402311224
713260062431
oct3102203740
91067310167
10420022240
111a6100a20
12b87b8514
1369031b91
143dad7488
1526d1b07a
hex190907e0

420022240 has 48 divisors (see below), whose sum is σ = 1082516400. Its totient is φ = 152734720.

The previous prime is 420022199. The next prime is 420022241. The reversal of 420022240 is 42220024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420022241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117565 + ... + 121084.

It is an arithmetic number, because the mean of its divisors is an integer number (22552425).

Almost surely, 2420022240 is an apocalyptic number.

420022240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420022240 is an abundant number, since it is smaller than the sum of its proper divisors (662494160).

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

420022240 is a wasteful number, since it uses less digits than its factorization.

420022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238675 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 420022240 is about 20494.4441251770. Note that the first 3 decimals coincide. The cubic root of 420022240 is about 748.9004569427.

Adding to 420022240 its reverse (42220024), we get a palindrome (462242264).

The spelling of 420022240 in words is "four hundred twenty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 238649 477298 954596 1193245 1909192 2386490 2625139 3818384 4772980 5250278 7636768 9545960 10500556 13125695 19091920 21001112 26251390 38183840 42002224 52502780 84004448 105005560 210011120 420022240