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10222331322 = 2371961373563
BaseRepresentation
bin10011000010100110…
…00110010110111010
3222101102010020100210
421201103012112322
5131413404100242
64410204011550
7511214245140
oct114123062672
928342106323
1010222331322
11437626a905
121b93530bb6
13c6ba93078
146cd8b9590
153ec678d9c
hex2614c65ba

10222331322 has 128 divisors (see below), whose sum is σ = 25109821440. Its totient is φ = 2709469440.

The previous prime is 10222331311. The next prime is 10222331333. The reversal of 10222331322 is 22313322201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10222331311) and next prime (10222331333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18156613 + ... + 18157175.

It is an arithmetic number, because the mean of its divisors is an integer number (196170480).

Almost surely, 210222331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554910720).

10222331322 is an abundant number, since it is smaller than the sum of its proper divisors (14887490118).

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

10222331322 is a wasteful number, since it uses less digits than its factorization.

10222331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10222331322 its reverse (22313322201), we get a palindrome (32535653523).

The spelling of 10222331322 in words is "ten billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 373 399 427 563 746 798 854 1119 1126 1159 1281 1689 2238 2318 2562 2611 3378 3477 3941 5222 6954 7087 7833 7882 8113 10697 11823 14174 15666 16226 21261 21394 22753 23646 24339 32091 34343 42522 45506 48678 49609 64182 68259 68686 74879 99218 103029 136518 148827 149758 159271 206058 209999 224637 240401 297654 318542 419998 432307 449274 477813 480802 629997 652517 721203 864614 955626 1259994 1296921 1305034 1442406 1469993 1957551 2593842 2939986 3026149 3915102 3989981 4409979 4567619 6052298 7979962 8819958 9078447 9135238 11969943 12809939 13702857 18156894 23939886 25619878 27405714 27929867 38429817 55859734 76859634 83789601 89669573 167579202 179339146 243388841 269008719 486777682 538017438 730166523 1460333046 1703721887 3407443774 5111165661 10222331322