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2221020120 = 233511532599
BaseRepresentation
bin1000010001100010…
…0001001111011000
312201210020111211110
42010120201033120
514022040120440
61004220100320
7106016234214
oct20430411730
95653214743
102221020120
11a3a787320
1251b9946a0
132951b11b7
14170d8d944
15ceec0080
hex846213d8

2221020120 has 192 divisors, whose sum is σ = 7420896000. Its totient is φ = 527388160.

The previous prime is 2221020119. The next prime is 2221020121. The reversal of 2221020120 is 210201222.

It is an interprime number because it is at equal distance from previous prime (2221020119) and next prime (2221020121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2221020096 and 2221020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221020121) 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, 3707581 + ... + 3708179.

It is an arithmetic number, because the mean of its divisors is an integer number (38650500).

Almost surely, 22221020120 is an apocalyptic number.

2221020120 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 2221020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710448000).

2221020120 is an abundant number, since it is smaller than the sum of its proper divisors (5199875880).

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

2221020120 is a wasteful number, since it uses less digits than its factorization.

2221020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2221020120 is about 47127.7001348464. The cubic root of 2221020120 is about 1304.7205343935.

Adding to 2221020120 its reverse (210201222), we get a palindrome (2431221342).

It can be divided in two parts, 2 and 221020120, that added together give a palindrome (221020122).

The spelling of 2221020120 in words is "two billion, two hundred twenty-one million, twenty thousand, one hundred twenty".