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1022100220 = 225234195303
BaseRepresentation
bin111100111011000…
…000001011111100
32122020021001220201
4330323000023330
54043124201340
6245231053244
734220465011
oct7473001374
92566231821
101022100220
11484a49029
12246371224
131339a753b
1499a61708
155eae979a
hex3cec02fc

1022100220 has 48 divisors (see below), whose sum is σ = 2245501440. Its totient is φ = 390057536.

The previous prime is 1022100199. The next prime is 1022100253. The reversal of 1022100220 is 220012201.

It is a super-3 number, since 3×10221002203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1022100197 and 1022100206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190089 + ... + 195391.

It is an arithmetic number, because the mean of its divisors is an integer number (46781280).

Almost surely, 21022100220 is an apocalyptic number.

1022100220 is a gapful number since it is divisible by the number (10) 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 1022100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

1022100220 is an abundant number, since it is smaller than the sum of its proper divisors (1223401220).

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

1022100220 is a wasteful number, since it uses less digits than its factorization.

1022100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1022100220 is about 31970.3021568455. The cubic root of 1022100220 is about 1007.3131277888.

Adding to 1022100220 its reverse (220012201), we get a palindrome (1242112421).

The spelling of 1022100220 in words is "one billion, twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 419 460 838 1676 2095 4190 5303 8380 9637 10606 19274 21212 26515 38548 48185 53030 96370 106060 121969 192740 243938 487876 609845 1219690 2221957 2439380 4443914 8887828 11109785 22219570 44439140 51105011 102210022 204420044 255525055 511050110 1022100220