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222100340 = 225721121873
BaseRepresentation
bin11010011110011…
…11101101110100
3120110220212101112
431033033231310
5423324202330
634012214152
75334551600
oct1517175564
9513825345
10222100340
11104408300
126246a358
1337024727
14216d6500
1514772795
hexd3cfb74

222100340 has 108 divisors (see below), whose sum is σ = 596685348. Its totient is φ = 69189120.

The previous prime is 222100331. The next prime is 222100343. The reversal of 222100340 is 43001222.

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 187854436 = 5852^2 + 13706^2 .

It is a super-2 number, since 2×2221003402 = 98657122056231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222100343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117644 + ... + 119516.

Almost surely, 2222100340 is an apocalyptic number.

222100340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298342674).

222100340 is an abundant number, since it is smaller than the sum of its proper divisors (374585008).

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

222100340 is a wasteful number, since it uses less digits than its factorization.

222100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 222100340 is about 14903.0312352890. The cubic root of 222100340 is about 605.5961066779.

Adding to 222100340 its reverse (43001222), we get a palindrome (265101562).

The spelling of 222100340 in words is "two hundred twenty-two million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 385 484 490 539 605 770 847 980 1078 1210 1540 1694 1873 2156 2420 2695 3388 3746 4235 5390 5929 7492 8470 9365 10780 11858 13111 16940 18730 20603 23716 26222 29645 37460 41206 52444 59290 65555 82412 91777 103015 118580 131110 144221 183554 206030 226633 262220 288442 367108 412060 453266 458885 576884 721105 906532 917770 1009547 1133165 1442210 1586431 1835540 2019094 2266330 2884420 3172862 4038188 4532660 5047735 6345724 7932155 10095470 11105017 15864310 20190940 22210034 31728620 44420068 55525085 111050170 222100340