Search a number
-
+
21169621200 = 24352713193861
BaseRepresentation
bin10011101101110011…
…101100100011010000
32000122100101011220110
4103231303230203100
5321323410334300
613420350241320
71346413545150
oct235563544320
960570334813
1021169621200
118a83776812
1241297b6240
131cc4ac38a0
14104b788760
1583d7a5550
hex4edcec8d0

21169621200 has 240 divisors, whose sum is σ = 83463019136. Its totient is φ = 4466534400.

The previous prime is 21169621181. The next prime is 21169621211. The reversal of 21169621200 is 212696112.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 12270 + ... + 206130.

Almost surely, 221169621200 is an apocalyptic number.

21169621200 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 21169621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731509568).

21169621200 is an abundant number, since it is smaller than the sum of its proper divisors (62293397936).

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

21169621200 is a wasteful number, since it uses less digits than its factorization.

21169621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193902 (or 193891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 21169621200 in words is "twenty-one billion, one hundred sixty-nine million, six hundred twenty-one thousand, two hundred".