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2234332466232 = 233532087841663
BaseRepresentation
bin100000100000111000100…
…101111100110000111000
321220121012110201112012220
4200200320211330300320
5243101403102404412
64430234351004040
7320265561413556
oct40407045746070
97817173645186
102234332466232
11791636479019
12301041509620
131329096c4509
147a1dc554bd6
153d1c05c468c
hex2083897cc38

2234332466232 has 64 divisors (see below), whose sum is σ = 5693957959680. Its totient is φ = 730374083712.

The previous prime is 2234332466227. The next prime is 2234332466243. The reversal of 2234332466232 is 2326642334322.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233833 + ... + 3075495.

It is an arithmetic number, because the mean of its divisors is an integer number (88968093120).

Almost surely, 22234332466232 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 2234332466232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846978979840).

2234332466232 is an abundant number, since it is smaller than the sum of its proper divisors (3459625493448).

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

2234332466232 is a wasteful number, since it uses less digits than its factorization.

2234332466232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843812 (or 843808 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 42.

The spelling of 2234332466232 in words is "two trillion, two hundred thirty-four billion, three hundred thirty-two million, four hundred sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 2087 4174 6261 8348 12522 16696 25044 50088 110611 221222 331833 442444 663666 841663 884888 1327332 1683326 2524989 2654664 3366652 5049978 6733304 10099956 20199912 44608139 89216278 133824417 178432556 267648834 356865112 535297668 1070595336 1756550681 3513101362 5269652043 7026202724 10539304086 14052405448 21078608172 42157216344 93097186093 186194372186 279291558279 372388744372 558583116558 744777488744 1117166233116 2234332466232