Search a number
-
+
222734220000 = 2535412373001
BaseRepresentation
bin1100111101101111111…
…1100111101011100000
3210021220201201201110120
43033123333213223200
512122124430020000
6250153411200240
722043363426535
oct3173377475340
9707821651416
10222734220000
118650872a176
12372012a6080
1318008302266
14aacd586d8c
155bd92846a0
hex33dbfe7ae0

222734220000 has 240 divisors, whose sum is σ = 731447074512. Its totient is φ = 59328000000.

The previous prime is 222734219959. The next prime is 222734220041. The reversal of 222734220000 is 22437222.

It is a happy number.

222734220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222734219959) and next prime (222734220041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2227342200002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74218500 + ... + 74221500.

Almost surely, 2222734220000 is an apocalyptic number.

222734220000 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 222734220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365723537256).

222734220000 is an abundant number, since it is smaller than the sum of its proper divisors (508712854512).

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

222734220000 is a wasteful number, since it uses less digits than its factorization.

222734220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

Adding to 222734220000 its reverse (22437222), we get a palindrome (222756657222).

The spelling of 222734220000 in words is "two hundred twenty-two billion, seven hundred thirty-four million, two hundred twenty thousand".