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2021221200222 = 232737593731117
BaseRepresentation
bin11101011010011010001…
…010111111000101011110
321011020010101021111222200
4131122122022333011132
5231103430111401342
64144311452552330
7266012513505330
oct35323212770536
97136111244880
102021221200222
1170a216746694
12287886a826a6
131187a5c46c93
146db83023450
153789b07094c
hex1d69a2bf15e

2021221200222 has 96 divisors (see below), whose sum is σ = 5148872194752. Its totient is φ = 560935590912.

The previous prime is 2021221200197. The next prime is 2021221200241. The reversal of 2021221200222 is 2220021221202.

2021221200222 is a `hidden beast` number, since 2 + 0 + 21 + 221 + 200 + 222 = 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 = 2021221200195 and 2021221200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2399008 + ... + 3130124.

It is an arithmetic number, because the mean of its divisors is an integer number (53634085362).

Almost surely, 22021221200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021221200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574436097376).

2021221200222 is an abundant number, since it is smaller than the sum of its proper divisors (3127650994530).

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

2021221200222 is a wasteful number, since it uses less digits than its factorization.

2021221200222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731762 (or 731759 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2021221200222 its reverse (2220021221202), we get a palindrome (4241242421424).

The spelling of 2021221200222 in words is "two trillion, twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 593 666 777 1186 1554 1779 2331 3558 4151 4662 5337 8302 10674 12453 21941 24906 37359 43882 65823 74718 131646 153587 197469 307174 394938 460761 731117 921522 1382283 1462234 2193351 2764566 4386702 5117819 6580053 10235638 13160106 15353457 27051329 30706914 46060371 54102658 81153987 92120742 162307974 189359303 243461961 378718606 433552381 486923922 568077909 867104762 1136155818 1300657143 1704233727 2601314286 3034866667 3408467454 3901971429 6069733334 7803942858 9104600001 16041438097 18209200002 27313800003 32082876194 48124314291 54627600006 96248628582 112290066679 144372942873 224580133358 288745885746 336870200037 673740400074 1010610600111 2021221200222