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420222342220 = 225194159457151
BaseRepresentation
bin1100001110101110011…
…01000001010001001100
31111011200000110210102121
412013113031001101030
523341103404422340
6521014131102324
742234333654652
oct6072715012114
91434600423377
10420222342220
1115224061441a
12695377419a4
133081c0c3805
14164a5c04dd2
15ade6e3394a
hex61d734144c

420222342220 has 96 divisors (see below), whose sum is σ = 967699353600. Its totient is φ = 152724672000.

The previous prime is 420222342121. The next prime is 420222342247. The reversal of 420222342220 is 22243222024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690645 + ... + 1147795.

It is an arithmetic number, because the mean of its divisors is an integer number (10080201600).

Almost surely, 2420222342220 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 420222342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483849676800).

420222342220 is an abundant number, since it is smaller than the sum of its proper divisors (547477011380).

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

420222342220 is a wasteful number, since it uses less digits than its factorization.

420222342220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457279 (or 457277 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 420222342220 its reverse (22243222024), we get a palindrome (442465564244).

The spelling of 420222342220 in words is "four hundred twenty billion, two hundred twenty-two million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 59 76 82 95 118 164 190 205 236 295 380 410 590 779 820 1121 1180 1558 2242 2419 3116 3895 4484 4838 5605 7790 9676 11210 12095 15580 22420 24190 45961 48380 91922 183844 229805 457151 459610 914302 919220 1828604 2285755 4571510 8685869 9143020 17371738 18743191 26971909 34743476 37486382 43429345 53943818 74972764 86858690 93715955 107887636 134859545 173717380 187431910 269719090 356120629 374863820 512466271 539438180 712241258 1024932542 1105848269 1424482516 1780603145 2049865084 2211696538 2562331355 3561206290 4423393076 5124662710 5529241345 7122412580 10249325420 11058482690 21011117111 22116965380 42022234222 84044468444 105055585555 210111171110 420222342220