Search a number
-
+
22287504100 = 2252149292
BaseRepresentation
bin10100110000011100…
…000101001011100100
32010112020212111221211
4110300130011023210
5331121100112400
614123322321204
71416206442031
oct246034051344
963466774854
1022287504100
1194a7795784
1243a0059204
132142596164
141116020388
158a69bedba
hex5307052e4

22287504100 has 27 divisors (see below), whose sum is σ = 48367123707. Its totient is φ = 8914404480.

The previous prime is 22287504079. The next prime is 22287504103. The reversal of 22287504100 is 140578222.

It is a happy number.

The square root of 22287504100 is 149290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1526152356 + 20761351744 = 39066^2 + 144088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22287504103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1485436 + ... + 1500364.

Almost surely, 222287504100 is an apocalyptic number.

22287504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22287504100 is the 149290-th square number.

It is an amenable number.

22287504100 is an abundant number, since it is smaller than the sum of its proper divisors (26079619607).

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

22287504100 is an frugal number, since it uses more digits than its factorization.

22287504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29872 (or 14936 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 22287504100 in words is "twenty-two billion, two hundred eighty-seven million, five hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 14929 29858 59716 74645 149290 298580 373225 746450 1492900 222875041 445750082 891500164 1114375205 2228750410 4457500820 5571876025 11143752050 22287504100