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20227315300 = 22521094494133
BaseRepresentation
bin10010110101101001…
…000101011001100100
31221012200021002012221
4102311221011121210
5312411143042200
613143045322124
71314152225503
oct226551053144
957180232187
1020227315300
11863a879405
123b06106344
131ba4806c2a
14d9c57883a
157d5bbd91a
hex4b5a45664

20227315300 has 72 divisors (see below), whose sum is σ = 44405361000. Its totient is φ = 7996907520.

The previous prime is 20227315291. The next prime is 20227315301. The reversal of 20227315300 is 351372202.

It can be written as a sum of positive squares in 12 ways, for example, as 1259966016 + 18967349284 = 35496^2 + 137722^2 .

It is a super-2 number, since 2×202273153002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20227315301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4892034 + ... + 4896166.

It is an arithmetic number, because the mean of its divisors is an integer number (616741125).

Almost surely, 220227315300 is an apocalyptic number.

20227315300 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 20227315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22202680500).

20227315300 is an abundant number, since it is smaller than the sum of its proper divisors (24178045700).

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

20227315300 is a wasteful number, since it uses less digits than its factorization.

20227315300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

Adding to 20227315300 its reverse (351372202), we get a palindrome (20578687502).

The spelling of 20227315300 in words is "twenty billion, two hundred twenty-seven million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 449 545 898 1090 1796 2180 2245 2725 4133 4490 5450 8266 8980 10900 11225 16532 20665 22450 41330 44900 48941 82660 97882 103325 195764 206650 244705 413300 450497 489410 900994 978820 1223525 1801988 1855717 2252485 2447050 3711434 4504970 4894100 7422868 9009940 9278585 11262425 18557170 22524850 37114340 45049700 46392925 92785850 185571700 202273153 404546306 809092612 1011365765 2022731530 4045463060 5056828825 10113657650 20227315300