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20214022000 = 245319950789
BaseRepresentation
bin10010110100110110…
…010111111101110000
31221011202020201020111
4102310312113331300
5312344242201000
613141452351104
71313631231514
oct226466277560
957152221214
1020214022000
118633319a07
123b01775494
131ba1b31383
14d9a8b8144
157d4944cba
hex4b4d97f70

20214022000 has 80 divisors (see below), whose sum is σ = 49124088000. Its totient is φ = 8044819200.

The previous prime is 20214021979. The next prime is 20214022001. The reversal of 20214022000 is 22041202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20214022001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372606 + ... + 423394.

It is an arithmetic number, because the mean of its divisors is an integer number (614051100).

Almost surely, 220214022000 is an apocalyptic number.

20214022000 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 20214022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562044000).

20214022000 is an abundant number, since it is smaller than the sum of its proper divisors (28910066000).

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

20214022000 is a wasteful number, since it uses less digits than its factorization.

20214022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51011 (or 50995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20214022000 its reverse (22041202), we get a palindrome (20236063202).

The spelling of 20214022000 in words is "twenty billion, two hundred fourteen million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 796 995 1000 1592 1990 2000 3184 3980 4975 7960 9950 15920 19900 24875 39800 49750 50789 79600 99500 101578 199000 203156 253945 398000 406312 507890 812624 1015780 1269725 2031560 2539450 4063120 5078900 6348625 10107011 10157800 12697250 20214022 20315600 25394500 40428044 50535055 50789000 80856088 101070110 101578000 161712176 202140220 252675275 404280440 505350550 808560880 1010701100 1263376375 2021402200 2526752750 4042804400 5053505500 10107011000 20214022000