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21930048 = 26337337
BaseRepresentation
bin101001110101…
…0000001000000
31112021011101000
41103222001000
521103230143
62102012000
7354255000
oct123520100
945234330
1021930048
1111419408
127417000
13470aa7a
142cac000
151dd2bd3
hex14ea040

21930048 has 224 divisors, whose sum is σ = 77216000. Its totient is φ = 6096384.

The previous prime is 21929993. The next prime is 21930101. The reversal of 21930048 is 84003912.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592686 + ... + 592722.

Almost surely, 221930048 is an apocalyptic number.

21930048 is a gapful number since it is divisible by the number (28) 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 21930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608000).

21930048 is an abundant number, since it is smaller than the sum of its proper divisors (55285952).

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

21930048 is an equidigital number, since it uses as much as digits as its factorization.

21930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21930048 is about 4682.9529145615. The cubic root of 21930048 is about 279.9066355383.

The spelling of 21930048 in words is "twenty-one million, nine hundred thirty thousand, forty-eight".