Search a number
-
+
2021222010222 = 2321734932995737
BaseRepresentation
bin11101011010011010001…
…110000100110101101110
321011020010102210200002200
4131122122032010311232
5231103430313311342
64144311522202330
7266012523421002
oct35323216046556
97136112720080
102021222010222
1170a21714a208
122878871b33a6
131187a616b87c
146db83194702
153789b18094c
hex1d69a384d6e

2021222010222 has 96 divisors (see below), whose sum is σ = 4652427780000. Its totient is φ = 631990093824.

The previous prime is 2021222010221. The next prime is 2021222010287. The reversal of 2021222010222 is 2220102221202.

2021222010222 is a `hidden beast` number, since 2 + 0 + 212 + 220 + 10 + 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 = 2021222010195 and 2021222010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021222010221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352310538 + ... + 352316274.

It is an arithmetic number, because the mean of its divisors is an integer number (48462789375).

Almost surely, 22021222010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021222010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326213890000).

2021222010222 is an abundant number, since it is smaller than the sum of its proper divisors (2631205769778).

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

2021222010222 is a wasteful number, since it uses less digits than its factorization.

2021222010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9407 counting only the distinct ones).

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

Adding to 2021222010222 its reverse (2220102221202), we get a palindrome (4241324231424).

The spelling of 2021222010222 in words is "two trillion, twenty-one billion, two hundred twenty-two million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 349 698 1047 2094 3141 3299 5737 5933 6282 6598 9897 11474 11866 17211 17799 19794 29691 34422 35598 51633 53397 56083 59382 97529 103266 106794 112166 168249 195058 292587 336498 504747 585174 877761 1009494 1151351 1755522 2002213 2302702 3454053 4004426 6006639 6908106 10362159 12013278 18019917 18926363 19572967 20724318 34037621 36039834 37852726 39145934 56779089 58718901 68075242 102112863 113558178 117437802 170337267 176156703 204225726 306338589 321748171 340674534 352313406 612677178 643496342 965244513 1930489026 2895733539 5791467078 6605300687 13210601374 19815902061 39631804122 59447706183 112290111679 118895412366 224580223358 336870335037 673740670074 1010611005111 2021222010222