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420222420 = 2232523101503
BaseRepresentation
bin11001000011000…
…001010111010100
31002021201111210100
4121003001113110
51330034104140
6105410454100
713261555152
oct3103012724
91067644710
10420222420
111a6228362
12b8894330
13690a2027
143db4a3d2
1526d5a530
hex190c15d4

420222420 has 72 divisors (see below), whose sum is σ = 1330108416. Its totient is φ = 107186112.

The previous prime is 420222419. The next prime is 420222427. The reversal of 420222420 is 24222024.

420222420 is a `hidden beast` number, since 4 + 20 + 222 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420222393 and 420222402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420222427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46612 + ... + 54891.

It is an arithmetic number, because the mean of its divisors is an integer number (18473728).

Almost surely, 2420222420 is an apocalyptic number.

It is an amenable number.

420222420 is an abundant number, since it is smaller than the sum of its proper divisors (909885996).

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

420222420 is a wasteful number, since it uses less digits than its factorization.

420222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101541 (or 101536 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420222420 is about 20499.3273060362. The cubic root of 420222420 is about 749.0194118212.

Adding to 420222420 its reverse (24222024), we get a palindrome (444444444).

The spelling of 420222420 in words is "four hundred twenty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 101503 203006 304509 406012 507515 609018 913527 1015030 1218036 1522545 1827054 2030060 2334569 3045090 3654108 4567635 4669138 6090180 7003707 9135270 9338276 11672845 14007414 18270540 21011121 23345690 28014828 35018535 42022242 46691380 70037070 84044484 105055605 140074140 210111210 420222420