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21214444000 = 255310152511
BaseRepresentation
bin10011110000011110…
…101011100111100000
32000202110201102020011
4103300132223213200
5321421344202000
613425031054304
71350466540651
oct236036534740
960673642204
1021214444000
118aa7000852
124140811394
132001188659
1410536d5528
158426ab2ba
hex4f07ab9e0

21214444000 has 96 divisors (see below), whose sum is σ = 52640969472. Its totient is φ = 8401600000.

The previous prime is 21214443959. The next prime is 21214444049. The reversal of 21214444000 is 44441212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377745 + ... + 430255.

It is an arithmetic number, because the mean of its divisors is an integer number (548343432).

Almost surely, 221214444000 is an apocalyptic number.

21214444000 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 21214444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320484736).

21214444000 is an abundant number, since it is smaller than the sum of its proper divisors (31426525472).

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

21214444000 is a wasteful number, since it uses less digits than its factorization.

21214444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52637 (or 52619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21214444000 its reverse (44441212), we get a palindrome (21258885212).

The spelling of 21214444000 in words is "twenty-one billion, two hundred fourteen million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 52511 80800 101000 105022 202000 210044 262555 404000 420088 525110 840176 1050220 1312775 1680352 2100440 2625550 4200880 5251100 5303611 6563875 8401760 10502200 10607222 13127750 21004400 21214444 26255500 26518055 42008800 42428888 52511000 53036110 84857776 105022000 106072220 132590275 169715552 210044000 212144440 265180550 424288880 530361100 662951375 848577760 1060722200 1325902750 2121444400 2651805500 4242888800 5303611000 10607222000 21214444000