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2270600400 = 243521892167
BaseRepresentation
bin1000011101010110…
…1001110011010000
312212020112110012010
42013111221303100
514122233203100
61013150502520
7110160533145
oct20725516320
95766473163
102270600400
11a65770762
12534504a40
132a2550543
141777b83cc
15d4515750
hex87569cd0

2270600400 has 60 divisors (see below), whose sum is σ = 7273493792. Its totient is φ = 605493120.

The previous prime is 2270600357. The next prime is 2270600429. The reversal of 2270600400 is 40060722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944884 + ... + 947283.

Almost surely, 22270600400 is an apocalyptic number.

2270600400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270600400 is an abundant number, since it is smaller than the sum of its proper divisors (5002893392).

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

2270600400 is a wasteful number, since it uses less digits than its factorization.

2270600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892188 (or 1892177 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2270600400 is about 47650.8174116667. The cubic root of 2270600400 is about 1314.3576886950.

The spelling of 2270600400 in words is "two billion, two hundred seventy million, six hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1892167 3784334 5676501 7568668 9460835 11353002 15137336 18921670 22706004 28382505 30274672 37843340 45412008 47304175 56765010 75686680 90824016 94608350 113530020 141912525 151373360 189216700 227060040 283825050 378433400 454120080 567650100 756866800 1135300200 2270600400