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420022220024 = 231123392040607
BaseRepresentation
bin1100001110010110100…
…01100111010011111000
31111011011001220112101102
412013023101213103320
523340201142020044
6520542221510532
742226353651221
oct6071321472370
91434131815342
10420022220024
11152148658680
12694a0712448
13307b97c5a04
14164873d0248
15add45a324e
hex61cb4674f8

420022220024 has 32 divisors (see below), whose sum is σ = 859504089600. Its totient is φ = 190837473120.

The previous prime is 420022220011. The next prime is 420022220039.

420022220024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420022219978 and 420022220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814472 + ... + 1226135.

It is an arithmetic number, because the mean of its divisors is an integer number (26859502800).

Almost surely, 2420022220024 is an apocalyptic number.

420022220024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420022220024 is an abundant number, since it is smaller than the sum of its proper divisors (439481869576).

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

420022220024 is a wasteful number, since it uses less digits than its factorization.

420022220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042963 (or 2042959 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 420022 and 220024, that added together give a palindrome (640046).

The spelling of 420022220024 in words is "four hundred twenty billion, twenty-two million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 2339 4678 9356 18712 25729 51458 102916 205832 2040607 4081214 8162428 16324856 22446677 44893354 89786708 179573416 4772979773 9545959546 19091919092 38183838184 52502777503 105005555006 210011110012 420022220024