Search a number
-
+
2028148500 = 223537233829
BaseRepresentation
bin111100011100011…
…0001011100010100
312020100022121201010
41320320301130110
513123201223000
6533130132220
7101154656250
oct17070613424
95210277633
102028148500
11950922a94
12487281070
13264251691
14153505260
15bd0c2d50
hex78e31714

2028148500 has 192 divisors, whose sum is σ = 6786823680. Its totient is φ = 461030400.

The previous prime is 2028148489. The next prime is 2028148537. The reversal of 2028148500 is 58418202.

It is a super-2 number, since 2×20281485002 = 8226772676104500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446086 + ... + 2446914.

It is an arithmetic number, because the mean of its divisors is an integer number (35348040).

Almost surely, 22028148500 is an apocalyptic number.

2028148500 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 2028148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393411840).

2028148500 is an abundant number, since it is smaller than the sum of its proper divisors (4758675180).

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

2028148500 is a wasteful number, since it uses less digits than its factorization.

2028148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2028148500 is about 45034.9697457431. The cubic root of 2028148500 is about 1265.8043492216.

The spelling of 2028148500 in words is "two billion, twenty-eight million, one hundred forty-eight thousand, five hundred".