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2224420020042 = 2311592711210713
BaseRepresentation
bin100000010111101001110…
…000111101111101001010
321212122121122201002100020
4200113221300331331022
5242421103011120132
64421515012521310
7316465126125543
oct40275160757512
97778548632306
102224420020042
1178840a124530
122bb135920236
131319b9bb073c
147993bca34ca
153cce025d52c
hex205e9c3df4a

2224420020042 has 64 divisors (see below), whose sum is σ = 4937383019520. Its totient is φ = 662394243200.

The previous prime is 2224420020001. The next prime is 2224420020059. The reversal of 2224420020042 is 2400200244222.

It is a junction number, because it is equal to n+sod(n) for n = 2224420019994 and 2224420020021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10451278 + ... + 10661990.

It is an arithmetic number, because the mean of its divisors is an integer number (77146609680).

Almost surely, 22224420020042 is an apocalyptic number.

2224420020042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224420020042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468691509760).

2224420020042 is an abundant number, since it is smaller than the sum of its proper divisors (2712962999478).

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

2224420020042 is a wasteful number, since it uses less digits than its factorization.

2224420020042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213499.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2224420020042 its reverse (2400200244222), we get a palindrome (4624620264264).

The spelling of 2224420020042 in words is "two trillion, two hundred twenty-four billion, four hundred twenty million, twenty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1947 2711 3894 5422 8133 16266 29821 59642 89463 159949 178926 210713 319898 421426 479847 632139 959694 1264278 1759439 2317843 3518878 4635686 5278317 6953529 10556634 12432067 13907058 24864134 37296201 74592402 136752737 273505474 410258211 571242943 820516422 1142485886 1713728829 3427457658 6283672373 12567344746 18851017119 33703333637 37702034238 67406667274 101110000911 202220001822 370736670007 741473340014 1112210010021 2224420020042