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2023205240 = 235747153739
BaseRepresentation
bin111100010010111…
…1010100101111000
312020000000110211102
41320211322211320
513120420031430
6532432150532
7101064650360
oct17045724570
95200013742
102023205240
11949057051
12485698448
13263210684
141529b99a0
15bc948345
hex7897a978

2023205240 has 64 divisors (see below), whose sum is σ = 5313254400. Its totient is φ = 678907008.

The previous prime is 2023205209. The next prime is 2023205243. The reversal of 2023205240 is 425023202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023205243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63710 + ... + 90029.

It is an arithmetic number, because the mean of its divisors is an integer number (83019600).

Almost surely, 22023205240 is an apocalyptic number.

2023205240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023205240 is an abundant number, since it is smaller than the sum of its proper divisors (3290049160).

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

2023205240 is a wasteful number, since it uses less digits than its factorization.

2023205240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153804 (or 153800 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2023205240 is about 44980.0538016575. The cubic root of 2023205240 is about 1264.7751197684.

Adding to 2023205240 its reverse (425023202), we get a palindrome (2448228442).

The spelling of 2023205240 in words is "two billion, twenty-three million, two hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 153739 307478 614956 768695 1076173 1229912 1537390 2152346 3074780 4304692 5380865 6149560 7225733 8609384 10761730 14451466 21523460 28902932 36128665 43046920 50580131 57805864 72257330 101160262 144514660 202320524 252900655 289029320 404641048 505801310 1011602620 2023205240