Search a number
-
+
214221311504 = 2429907509023
BaseRepresentation
bin1100011110000010010…
…1011100111000010000
3202110221110012011101022
43013200211130320100
512002211123432004
6242224550055012
721322414050404
oct3074045347020
9673843164338
10214221311504
118293a389002
123562634a468
131727c7376b5
14a522b27104
15588bc212be
hex31e095ce10

214221311504 has 40 divisors (see below), whose sum is σ = 429840226560. Its totient is φ = 103302960768.

The previous prime is 214221311503. The next prime is 214221311539. The reversal of 214221311504 is 405113122412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214221311501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166337 + ... + 675359.

It is an arithmetic number, because the mean of its divisors is an integer number (10746005664).

Almost surely, 2214221311504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214221311504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214920113280).

214221311504 is an abundant number, since it is smaller than the sum of its proper divisors (215618915056).

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

214221311504 is a wasteful number, since it uses less digits than its factorization.

214221311504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509967 (or 509961 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 214221311504 its reverse (405113122412), we get a palindrome (619334433916).

The spelling of 214221311504 in words is "two hundred fourteen billion, two hundred twenty-one million, three hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 907 1814 3628 7256 14512 26303 52606 105212 210424 420848 509023 1018046 2036092 4072184 8144368 14761667 29523334 59046668 118093336 236186672 461683861 923367722 1846735444 3693470888 7386941776 13388831969 26777663938 53555327876 107110655752 214221311504