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1222216486900 = 225229421453961
BaseRepresentation
bin10001110010010001110…
…001111000111111110100
311022211202100221120122121
4101302101301320333310
5130011044410040100
62333251205005324
7154205443503613
oct21622161707764
94284670846577
101222216486900
11431380386572
12178a599b3844
138b340247346
1443226d3d87a
1521bd532d51a
hex11c91c78ff4

1222216486900 has 36 divisors (see below), whose sum is σ = 2743665292620. Its totient is φ = 472028435200.

The previous prime is 1222216486877. The next prime is 1222216486901. The reversal of 1222216486900 is 96846122221.

It can be written as a sum of positive squares in 6 ways, for example, as 119796285456 + 1102420201444 = 346116^2 + 1049962^2 .

It is a super-2 number, since 2×12222164869002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222216486901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210724081 + ... + 210729880.

It is an arithmetic number, because the mean of its divisors is an integer number (76212924795).

Almost surely, 21222216486900 is an apocalyptic number.

1222216486900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222216486900 is an abundant number, since it is smaller than the sum of its proper divisors (1521448805720).

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

1222216486900 is a wasteful number, since it uses less digits than its factorization.

1222216486900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421454004 (or 421453997 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 1222216486900 in words is "one trillion, two hundred twenty-two billion, two hundred sixteen million, four hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 421453961 842907922 1685815844 2107269805 4214539610 8429079220 10536349025 12222164869 21072698050 24444329738 42145396100 48888659476 61110824345 122221648690 244443297380 305554121725 611108243450 1222216486900