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2022042661344 = 253231226483273
BaseRepresentation
bin11101011011001011001…
…000100111000111100000
321011022020122000001210200
4131123023020213013200
5231112120410130334
64144525155425200
7266042050014606
oct35331310470740
97138218001720
102022042661344
1170a5a8405582
12287a75bb5200
131188a71a2354
146dc20177876
15378e8236799
hex1d6cb2271e0

2022042661344 has 72 divisors (see below), whose sum is σ = 5935673644992. Its totient is φ = 652271823360.

The previous prime is 2022042661307. The next prime is 2022042661349. The reversal of 2022042661344 is 4431662402202.

2022042661344 is a `hidden beast` number, since 2 + 0 + 220 + 426 + 6 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2022042661299 and 2022042661308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022042661349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113232709 + ... + 113250564.

It is an arithmetic number, because the mean of its divisors is an integer number (82439911736).

Almost surely, 22022042661344 is an apocalyptic number.

2022042661344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2022042661344 is an abundant number, since it is smaller than the sum of its proper divisors (3913630983648).

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

2022042661344 is a wasteful number, since it uses less digits than its factorization.

2022042661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226483320 (or 226483309 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2022042661344 in words is "two trillion, twenty-two billion, forty-two million, six hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 226483273 452966546 679449819 905933092 1358899638 1811866184 2038349457 2717799276 3623732368 4076698914 5435598552 7020981463 7247464736 8153397828 10871197104 14041962926 16306795656 21062944389 21742394208 28083925852 32613591312 42125888778 56167851704 63188833167 65227182624 84251777556 112335703408 126377666334 168503555112 224671406816 252755332668 337007110224 505510665336 674014220448 1011021330672 2022042661344