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2149919100 = 2232527248751
BaseRepresentation
bin1000000000100101…
…0010100101111100
312112211110012120100
42000021102211330
513400334402400
6553200121100
7104164003500
oct20011224574
95484405510
102149919100
11a0363404a
12500006190
132835484a4
14165762300
15c8b28100
hex8025297c

2149919100 has 162 divisors, whose sum is σ = 7839175344. Its totient is φ = 491400000.

The previous prime is 2149919087. The next prime is 2149919137. The reversal of 2149919100 is 19199412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19725 + ... + 68475.

Almost surely, 22149919100 is an apocalyptic number.

2149919100 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 2149919100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919587672).

2149919100 is an abundant number, since it is smaller than the sum of its proper divisors (5689256244).

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

2149919100 is a wasteful number, since it uses less digits than its factorization.

2149919100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48785 (or 48768 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 2149919100 is about 46367.2201021368. The cubic root of 2149919100 is about 1290.6466921567.

The spelling of 2149919100 in words is "two billion, one hundred forty-nine million, nine hundred nineteen thousand, one hundred".