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420502224 = 243191932389
BaseRepresentation
bin11001000100000…
…101101011010000
31002022020201121110
4121010011223100
51330122032344
6105420453320
713264132002
oct3104055320
91068221543
10420502224
111a63a95aa
12b89aa240
136916c4ac
143dbc0372
1526db33b9
hex19105ad0

420502224 has 80 divisors (see below), whose sum is σ = 1149876800. Its totient is φ = 132046848.

The previous prime is 420502217. The next prime is 420502241. The reversal of 420502224 is 422205024.

It is a self number, because there is not a number n which added to its sum of digits gives 420502224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 174822 + ... + 177210.

It is an arithmetic number, because the mean of its divisors is an integer number (14373460).

Almost surely, 2420502224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420502224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574938400).

420502224 is an abundant number, since it is smaller than the sum of its proper divisors (729374576).

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

420502224 is a wasteful number, since it uses less digits than its factorization.

420502224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 420502224 is about 20506.1508821134. The cubic root of 420502224 is about 749.1856191429.

Adding to 420502224 its reverse (422205024), we get a palindrome (842707248).

The spelling of 420502224 in words is "four hundred twenty million, five hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 304 386 456 579 772 912 1158 1544 2316 2389 3088 3667 4632 4778 7167 7334 9264 9556 11001 14334 14668 19112 22002 28668 29336 38224 44004 45391 57336 58672 88008 90782 114672 136173 176016 181564 272346 363128 461077 544692 726256 922154 1089384 1383231 1844308 2178768 2766462 3688616 5532924 7377232 8760463 11065848 17520926 22131696 26281389 35041852 52562778 70083704 105125556 140167408 210251112 420502224