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21141900 = 223252132139
BaseRepresentation
bin101000010100…
…1100110001100
31110210010020100
41100221212030
520403020100
62033051100
7344463123
oct120514614
943703210
1021141900
1110a3024a
1270b6a90
1344c3100
142b44aba
151cc9400
hex142998c

21141900 has 162 divisors, whose sum is σ = 72274020. Its totient is φ = 5166720.

The previous prime is 21141893. The next prime is 21141941. The reversal of 21141900 is 914112.

21141900 = T1288 + T1289 + ... + T1312.

It is a super-2 number, since 2×211419002 = 893959871220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 152031 + ... + 152169.

Almost surely, 221141900 is an apocalyptic number.

21141900 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 21141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137010).

21141900 is an abundant number, since it is smaller than the sum of its proper divisors (51132120).

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

21141900 is a wasteful number, since it uses less digits than its factorization.

21141900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 21141900 is about 4598.0321877951. The cubic root of 21141900 is about 276.5124380323.

The spelling of 21141900 in words is "twenty-one million, one hundred forty-one thousand, nine hundred".