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2148236100 = 223352795643
BaseRepresentation
bin1000000000001011…
…0111101101000100
312112201021200221000
42000002313231010
513344422023400
6553100053300
7104143464003
oct20002675504
95481250830
102148236100
11a0269463a
124bb534230
132830a942a
14165444c3a
15c88e4600
hex800b7b44

2148236100 has 72 divisors (see below), whose sum is σ = 6906189920. Its totient is φ = 572862240.

The previous prime is 2148236089. The next prime is 2148236113. The reversal of 2148236100 is 16328412.

2148236100 is a `hidden beast` number, since 2 + 1 + 48 + 2 + 3 + 610 + 0 = 666.

It is a super-2 number, since 2×21482361002 = 9229836682686420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395122 + ... + 400521.

Almost surely, 22148236100 is an apocalyptic number.

2148236100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148236100 is an abundant number, since it is smaller than the sum of its proper divisors (4757953820).

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

2148236100 is a wasteful number, since it uses less digits than its factorization.

2148236100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795666 (or 795653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2148236100 is about 46349.0679517938. The cubic root of 2148236100 is about 1290.3098228248.

The spelling of 2148236100 in words is "two billion, one hundred forty-eight million, two hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 795643 1591286 2386929 3182572 3978215 4773858 7160787 7956430 9547716 11934645 14321574 15912860 19891075 21482361 23869290 28643148 35803935 39782150 42964722 47738580 59673225 71607870 79564300 85929444 107411805 119346450 143215740 179019675 214823610 238692900 358039350 429647220 537059025 716078700 1074118050 2148236100