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20223004000 = 255341123311
BaseRepresentation
bin10010110101011000…
…101000110101100000
31221012101011001020011
4102311120220311200
5312404042112000
613142413054304
71314100461223
oct226530506540
957171131204
1020223004000
1186383a4251
123b04787394
131ba3957774
14d9bb755ba
157d561b2ba
hex4b5628d60

20223004000 has 96 divisors (see below), whose sum is σ = 50900234112. Its totient is φ = 7891840000.

The previous prime is 20223003979. The next prime is 20223004003. The reversal of 20223004000 is 40032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223004003) 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, 102345 + ... + 225655.

It is an arithmetic number, because the mean of its divisors is an integer number (530210772).

Almost surely, 220223004000 is an apocalyptic number.

20223004000 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 20223004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25450117056).

20223004000 is an abundant number, since it is smaller than the sum of its proper divisors (30677230112).

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

20223004000 is a wasteful number, since it uses less digits than its factorization.

20223004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123377 (or 123359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 20223004000 its reverse (40032202), we get a palindrome (20263036202).

The spelling of 20223004000 in words is "twenty billion, two hundred twenty-three million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 123311 164000 246622 493244 616555 986488 1233110 1972976 2466220 3082775 3945952 4932440 5055751 6165550 9864880 10111502 12331100 15413875 19729760 20223004 24662200 25278755 30827750 40446008 49324400 50557510 61655500 80892016 98648800 101115020 123311000 126393775 161784032 202230040 246622000 252787550 404460080 493244000 505575100 631968875 808920160 1011150200 1263937750 2022300400 2527875500 4044600800 5055751000 10111502000 20223004000