Search a number
-
+
2900214720 = 263551319151
BaseRepresentation
bin1010110011011101…
…1100001111000000
321111010021011200000
42230313130033000
521414423332340
61155441400000
7131604263334
oct25467341700
97433234600
102900214720
111259106277
1268b339000
13372b176b0
141d726d7c4
1511e932d30
hexacddc3c0

2900214720 has 672 divisors, whose sum is σ = 11804782080. Its totient is φ = 671846400.

The previous prime is 2900214689. The next prime is 2900214727. The reversal of 2900214720 is 274120092.

2900214720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29002147202 = 16822490844209356800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900214727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206645 + ... + 19206795.

It is an arithmetic number, because the mean of its divisors is an integer number (17566640).

Almost surely, 22900214720 is an apocalyptic number.

2900214720 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 2900214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902391040).

2900214720 is an abundant number, since it is smaller than the sum of its proper divisors (8904567360).

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

2900214720 is a wasteful number, since it uses less digits than its factorization.

2900214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2900214720 is about 53853.6416595944. The cubic root of 2900214720 is about 1426.0783416743.

The spelling of 2900214720 in words is "two billion, nine hundred million, two hundred fourteen thousand, seven hundred twenty".