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2222022100 = 2252149197757
BaseRepresentation
bin1000010001110001…
…0101110111010100
312201212010102021211
42010130111313110
514022314201400
61004253351204
7106030606354
oct20434256724
95655112254
102222022100
11a40301101
12520198504
1329547229c
14171170b64
15d011bdba
hex84715dd4

2222022100 has 72 divisors (see below), whose sum is σ = 4885234200. Its totient is φ = 877201920.

The previous prime is 2222022059. The next prime is 2222022109. The reversal of 2222022100 is 12202222.

It can be written as a sum of positive squares in 12 ways, for example, as 293231376 + 1928790724 = 17124^2 + 43918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2934922 + ... + 2935678.

It is an arithmetic number, because the mean of its divisors is an integer number (67850475).

Almost surely, 22222022100 is an apocalyptic number.

2222022100 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 2222022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442617100).

2222022100 is an abundant number, since it is smaller than the sum of its proper divisors (2663212100).

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

2222022100 is a wasteful number, since it uses less digits than its factorization.

2222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2222022100 is about 47138.3294146070. The cubic root of 2222022100 is about 1304.9167066131.

Adding to 2222022100 its reverse (12202222), we get a palindrome (2234224322).

The spelling of 2222022100 in words is "two billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 197 298 394 596 745 757 788 985 1490 1514 1970 2980 3028 3725 3785 3940 4925 7450 7570 9850 14900 15140 18925 19700 29353 37850 58706 75700 112793 117412 146765 149129 225586 293530 298258 451172 563965 587060 596516 733825 745645 1127930 1467650 1491290 2255860 2819825 2935300 2982580 3728225 5639650 7456450 11279300 14912900 22220221 44440442 88880884 111101105 222202210 444404420 555505525 1111011050 2222022100