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232374048 = 25353109419
BaseRepresentation
bin11011101100110…
…11111100100000
3121012020211021020
431312123330200
5433441432143
635020325440
75521101234
oct1566337440
9535224236
10232374048
1110a195075
12659a3880
13391b0a4a
1422c0c5c4
1515601883
hexdd9bf20

232374048 has 96 divisors (see below), whose sum is σ = 628689600. Its totient is φ = 75119616.

The previous prime is 232374031. The next prime is 232374049. The reversal of 232374048 is 840473232.

232374048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (232374049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554383 + ... + 554801.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2232374048 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 232374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314344800).

232374048 is an abundant number, since it is smaller than the sum of its proper divisors (396315552).

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

232374048 is a wasteful number, since it uses less digits than its factorization.

232374048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 232374048 is about 15243.8199936892. The cubic root of 232374048 is about 614.7934159736.

The spelling of 232374048 in words is "two hundred thirty-two million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 109 159 212 218 318 327 419 424 436 636 654 838 848 872 1257 1272 1308 1676 1696 1744 2514 2544 2616 3352 3488 5028 5088 5232 5777 6704 10056 10464 11554 13408 17331 20112 22207 23108 34662 40224 44414 45671 46216 66621 69324 88828 91342 92432 133242 137013 138648 177656 182684 184864 266484 274026 277296 355312 365368 532968 548052 554592 710624 730736 1065936 1096104 1461472 2131872 2192208 2420563 4384416 4841126 7261689 9682252 14523378 19364504 29046756 38729008 58093512 77458016 116187024 232374048