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1224312054 = 237731972027
BaseRepresentation
bin100100011111001…
…1000010011110110
310011022202111101220
41020332120103312
510001410441204
6321253131210
742224323620
oct11076302366
93138674356
101224312054
11579101849
122a2029b06
13166857504
14b885bc10
157273e1d9
hex48f984f6

1224312054 has 64 divisors (see below), whose sum is σ = 2852568576. Its totient is φ = 343090944.

The previous prime is 1224312043. The next prime is 1224312073. The reversal of 1224312054 is 4502134221.

1224312054 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602989 + ... + 605015.

It is an arithmetic number, because the mean of its divisors is an integer number (44571384).

Almost surely, 21224312054 is an apocalyptic number.

1224312054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224312054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426284288).

1224312054 is an abundant number, since it is smaller than the sum of its proper divisors (1628256522).

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

1224312054 is a wasteful number, since it uses less digits than its factorization.

1224312054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1224312054 is about 34990.1708198174. The cubic root of 1224312054 is about 1069.7871454782.

Adding to 1224312054 its reverse (4502134221), we get a palindrome (5726446275).

The spelling of 1224312054 in words is "one billion, two hundred twenty-four million, three hundred twelve thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 197 219 394 438 511 591 1022 1182 1379 1533 2027 2758 3066 4054 4137 6081 8274 12162 14189 14381 28378 28762 42567 43143 85134 86286 100667 147971 201334 295942 302001 399319 443913 604002 798638 887826 1035797 1197957 2071594 2395914 2795233 3107391 5590466 6214782 8385699 16771398 29150287 58300574 87450861 174901722 204052009 408104018 612156027 1224312054