Search a number
-
+
2214223040000 = 295441712377
BaseRepresentation
bin100000001110001001111…
…110100100111000000000
321211200022000021211101202
4200032021332210320000
5242234212044240000
64413111112120332
7315654340205006
oct40161176447000
97750260254352
102214223040000
117840571aa4a4
122b916a9960a8
13130a5345573a
1479251906a76
153c8e4e40dd5
hex20389fa4e00

2214223040000 has 400 divisors, whose sum is σ = 5745400458336. Its totient is φ = 851558400000.

The previous prime is 2214223039981. The next prime is 2214223040047. The reversal of 2214223040000 is 403224122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 931518812 + ... + 931521188.

Almost surely, 22214223040000 is an apocalyptic number.

2214223040000 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 2214223040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872700229168).

2214223040000 is an abundant number, since it is smaller than the sum of its proper divisors (3531177418336).

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

2214223040000 is an frugal number, since it uses more digits than its factorization.

2214223040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2214223040000 its reverse (403224122), we get a palindrome (2214626264122).

The spelling of 2214223040000 in words is "two trillion, two hundred fourteen billion, two hundred twenty-three million, forty thousand".