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2221772969856 = 273111427368597
BaseRepresentation
bin100000010101001011111…
…111010001011110000000
321212101210011211000010110
4200111023333101132000
5242400142340013411
64420400213231320
7316342414434216
oct40251377213600
97771704730113
102221772969856
11787280a13550
122ba717332540
13131687675c5b
147976a4d4cb6
153cbd7b872a6
hex2054bfd1780

2221772969856 has 128 divisors (see below), whose sum is σ = 6442621234560. Its totient is φ = 672790906880.

The previous prime is 2221772969839. The next prime is 2221772969869. The reversal of 2221772969856 is 6589692771222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5843350 + ... + 6211946.

It is an arithmetic number, because the mean of its divisors is an integer number (50332978395).

Almost surely, 22221772969856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221772969856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221310617280).

2221772969856 is an abundant number, since it is smaller than the sum of its proper divisors (4220848264704).

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

2221772969856 is a wasteful number, since it uses less digits than its factorization.

2221772969856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370052 (or 370040 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The spelling of 2221772969856 in words is "two trillion, two hundred twenty-one billion, seven hundred seventy-two million, nine hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1427 2112 2854 4224 4281 5708 8562 11416 15697 17124 22832 31394 34248 45664 47091 62788 68496 91328 94182 125576 136992 182656 188364 251152 273984 368597 376728 502304 547968 737194 753456 1004608 1105791 1474388 1506912 2009216 2211582 2948776 3013824 4054567 4423164 5897552 6027648 8109134 8846328 11795104 12163701 16218268 17692656 23590208 24327402 32436536 35385312 47180416 48654804 64873072 70770624 97309608 129746144 141541248 194619216 259492288 389238432 518984576 525987919 778476864 1051975838 1556953728 1577963757 2103951676 3155927514 4207903352 5785867109 6311855028 8415806704 11571734218 12623710056 16831613408 17357601327 23143468436 25247420112 33663226816 34715202654 46286936872 50494840224 67326453632 69430405308 92573873744 100989680448 138860810616 185147747488 201979360896 277721621232 370295494976 555443242464 740590989952 1110886484928 2221772969856