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2220930900 = 2234521914431
BaseRepresentation
bin1000010001100000…
…1011011101010100
312201210001222110000
42010120023131110
514022024242100
61004214131300
7106015413126
oct20430133524
95653058400
102220930900
11a3a726291
1251b950b30
1329517c6c6
14170d69216
15ceea3900
hex8460b754

2220930900 has 180 divisors, whose sum is σ = 7578820480. Its totient is φ = 561038400.

The previous prime is 2220930889. The next prime is 2220930911. The reversal of 2220930900 is 90390222.

It is an interprime number because it is at equal distance from previous prime (2220930889) and next prime (2220930911).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 146685 + ... + 161115.

Almost surely, 22220930900 is an apocalyptic number.

2220930900 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 2220930900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789410240).

2220930900 is an abundant number, since it is smaller than the sum of its proper divisors (5357889580).

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

2220930900 is a wasteful number, since it uses less digits than its factorization.

2220930900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14476 (or 14460 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2220930900 is about 47126.7535482766. The cubic root of 2220930900 is about 1304.7030636340.

The spelling of 2220930900 in words is "two billion, two hundred twenty million, nine hundred thirty thousand, nine hundred".