Search a number
-
+
222205104000 = 27325311140281
BaseRepresentation
bin1100111011110001110…
…1001100111110000000
3210020112212002211202200
43032330131030332000
512120034001312000
6250025110313200
722024310135355
oct3167435147600
9706485084680
10222205104000
1186266a96520
1237094058800
1317c527c4679
14aa7d1b262c
155ba7ab9500
hex33bc74cf80

222205104000 has 384 divisors, whose sum is σ = 870545201760. Its totient is φ = 53867520000.

The previous prime is 222205103993. The next prime is 222205104031. The reversal of 222205104000 is 401502222.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513860 + ... + 1654140.

Almost surely, 2222205104000 is an apocalyptic number.

222205104000 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 222205104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435272600880).

222205104000 is an abundant number, since it is smaller than the sum of its proper divisors (648340097760).

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

222205104000 is a wasteful number, since it uses less digits than its factorization.

222205104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140327 (or 140302 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 222205104000 its reverse (401502222), we get a palindrome (222606606222).

The spelling of 222205104000 in words is "two hundred twenty-two billion, two hundred five million, one hundred four thousand".