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234725540448 = 25372239281743
BaseRepresentation
bin1101101010011010111…
…0111000001001100000
3211102212102111220201010
43122212232320021200
512321204214243243
6255455330540520
722646501113500
oct3324656701140
9742772456633
10234725540448
11906014a2763
12395a9137740
1319199718249
14b509d85a00
15618bd8d433
hex36a6bb8260

234725540448 has 288 divisors, whose sum is σ = 723283706880. Its totient is φ = 66456606720.

The previous prime is 234725540443. The next prime is 234725540479. The reversal of 234725540448 is 844045527432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 234725540397 and 234725540406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234725540443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315915565 + ... + 315916307.

It is an arithmetic number, because the mean of its divisors is an integer number (2511401760).

Almost surely, 2234725540448 is an apocalyptic number.

234725540448 is a gapful number since it is divisible by the number (28) 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 234725540448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361641853440).

234725540448 is an abundant number, since it is smaller than the sum of its proper divisors (488558166432).

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

234725540448 is a wasteful number, since it uses less digits than its factorization.

234725540448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 234725540448 in words is "two hundred thirty-four billion, seven hundred twenty-five million, five hundred forty thousand, four hundred forty-eight".