Search a number
-
+
20224002100 = 22527115718143
BaseRepresentation
bin10010110101011100…
…011100100000110100
31221012110000202100211
4102311130130200310
5312404321031400
613142450315204
71314112116151
oct226534344064
957173022324
1020224002100
118638a16125
123b04b88b04
131ba3c16b63
14d9bd55228
157d5766dba
hex4b571c834

20224002100 has 72 divisors (see below), whose sum is σ = 44790133248. Its totient is φ = 7924425600.

The previous prime is 20224002079. The next prime is 20224002101. The reversal of 20224002100 is 120042202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20224002101) 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, 1105629 + ... + 1123771.

It is an arithmetic number, because the mean of its divisors is an integer number (622085184).

Almost surely, 220224002100 is an apocalyptic number.

20224002100 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 20224002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22395066624).

20224002100 is an abundant number, since it is smaller than the sum of its proper divisors (24566131148).

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

20224002100 is a wasteful number, since it uses less digits than its factorization.

20224002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18385 (or 18378 counting only the distinct ones).

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

Adding to 20224002100 its reverse (120042202), we get a palindrome (20344044302).

The spelling of 20224002100 in words is "twenty billion, two hundred twenty-four million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 157 284 314 355 628 710 785 1420 1570 1775 3140 3550 3925 7100 7850 11147 15700 18143 22294 36286 44588 55735 72572 90715 111470 181430 222940 278675 362860 453575 557350 907150 1114700 1288153 1814300 2576306 2848451 5152612 5696902 6440765 11393804 12881530 14242255 25763060 28484510 32203825 56969020 64407650 71211275 128815300 142422550 202240021 284845100 404480042 808960084 1011200105 2022400210 4044800420 5056000525 10112001050 20224002100