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2022044222331 = 337229464311351
BaseRepresentation
bin11101011011001011001…
…110100100001101111011
321011022020201221101002000
4131123023032210031323
5231112121310103311
64144525253112043
7266042066205600
oct35331316441573
97138221841060
102022044222331
1170a5a9281351
12287a76628623
131188a75caa03
146dc204626a7
15378e8444056
hex1d6cb3a437b

2022044222331 has 96 divisors (see below), whose sum is σ = 3605958259200. Its totient is φ = 1115272065600.

The previous prime is 2022044222309. The next prime is 2022044222351. The reversal of 2022044222331 is 1332224402202.

2022044222331 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 0 + 4 + 422 + 233 + 1 = 666.

It is not a de Polignac number, because 2022044222331 - 214 = 2022044205947 is a prime.

It is a super-2 number, since 2×20220442223312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2022044222295 and 2022044222304.

It is not an unprimeable number, because it can be changed into a prime (2022044222351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178132306 + ... + 178143656.

It is an arithmetic number, because the mean of its divisors is an integer number (37562065200).

Almost surely, 22022044222331 is an apocalyptic number.

2022044222331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2022044222331 is a deficient number, since it is larger than the sum of its proper divisors (1583914036869).

2022044222331 is a wasteful number, since it uses less digits than its factorization.

2022044222331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16046 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2022044222331 its reverse (1332224402202), we get a palindrome (3354268624533).

The spelling of 2022044222331 in words is "two trillion, twenty-two billion, forty-four million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 49 63 87 147 189 203 261 441 609 783 1323 1421 1827 4263 4643 5481 11351 12789 13929 32501 34053 38367 41787 79457 97503 102159 125361 134647 227507 238371 292509 306477 329179 403941 556199 682521 715113 877527 942529 987537 1211823 1668597 2047563 2145339 2304253 2827587 2962611 3635469 5005791 6142689 6597703 6912759 8482761 8887833 15017373 16129771 19793109 20738277 25448283 48389313 52702693 59379327 62214831 145167939 158108079 178137981 368918851 435503817 474324237 1106756553 1422972711 1528378097 2582431957 3320269659 4585134291 7747295871 9960808977 10698646679 13755402873 23241887613 32095940037 41266208619 69725662839 74890526753 96287820111 224671580259 288863460333 674014740777 2022044222331