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20270023000 = 2353131154733
BaseRepresentation
bin10010111000001100…
…000000000101011000
31221022122121212011121
4102320030000011120
5313003111214000
613151212535024
71315211231653
oct227014000530
957278555147
1020270023000
118661999327
123b18481474
131bb060b066
14da40d489a
157d9807b1a
hex4b8300158

20270023000 has 64 divisors (see below), whose sum is σ = 47794237920. Its totient is φ = 8046064000.

The previous prime is 20270022991. The next prime is 20270023003. The reversal of 20270023000 is 32007202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20270023003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53634 + ... + 208366.

Almost surely, 220270023000 is an apocalyptic number.

20270023000 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 20270023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23897118960).

20270023000 is an abundant number, since it is smaller than the sum of its proper divisors (27524214920).

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

20270023000 is a wasteful number, since it uses less digits than its factorization.

20270023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154885 (or 154871 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The spelling of 20270023000 in words is "twenty billion, two hundred seventy million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 26200 32750 65500 131000 154733 309466 618932 773665 1237864 1547330 3094660 3868325 6189320 7736650 15473300 19341625 20270023 30946600 38683250 40540046 77366500 81080092 101350115 154733000 162160184 202700230 405400460 506750575 810800920 1013501150 2027002300 2533752875 4054004600 5067505750 10135011500 20270023000