Search a number
-
+
4222110112224 = 253192314753351
BaseRepresentation
bin111101011100001001010…
…111111001100111100000
3112221122000010001110110220
4331130021113321213200
51023133340142042344
612551335520323040
7614015552545524
oct75341127714740
915848003043426
104222110112224
1113886500a7394
12582334173480
132481b2a11044
141084cba65d84
1574c6055dc19
hex3d7095f99e0

4222110112224 has 48 divisors (see below), whose sum is σ = 11666356894080. Its totient is φ = 1333297929600.

The previous prime is 4222110112163. The next prime is 4222110112277.

4222110112224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4222110112194 and 4222110112203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157374852 + ... + 1157378499.

It is an arithmetic number, because the mean of its divisors is an integer number (243049101960).

Almost surely, 24222110112224 is an apocalyptic number.

It is an amenable number.

4222110112224 is an abundant number, since it is smaller than the sum of its proper divisors (7444246781856).

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

4222110112224 is a wasteful number, since it uses less digits than its factorization.

4222110112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314753383 (or 2314753375 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4222110 and 112224, that added together give a palindrome (4334334).

The spelling of 4222110112224 in words is "four trillion, two hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2314753351 4629506702 6944260053 9259013404 13888520106 18518026808 27777040212 37036053616 43980313669 55554080424 74072107232 87960627338 111108160848 131940941007 175921254676 222216321696 263881882014 351842509352 527763764028 703685018704 1055527528056 1407370037408 2111055056112 4222110112224