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235474000 = 2453235119
BaseRepresentation
bin11100000100100…
…00110001010000
3121102002022121021
432002100301100
5440240132000
635211005224
75556332056
oct1602206120
9542068537
10235474000
11110a12113
1266a39814
1339a27a38
14233b81d6
1515a1511a
hexe090c50

235474000 has 80 divisors (see below), whose sum is σ = 594247680. Its totient is φ = 90076800.

The previous prime is 235473991. The next prime is 235474003. The reversal of 235474000 is 474532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235474003) 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, 43441 + ... + 48559.

It is an arithmetic number, because the mean of its divisors is an integer number (7428096).

Almost surely, 2235474000 is an apocalyptic number.

235474000 is a gapful number since it is divisible by the number (20) 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 235474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

235474000 is an abundant number, since it is smaller than the sum of its proper divisors (358773680).

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

235474000 is a wasteful number, since it uses less digits than its factorization.

235474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 235474000 is about 15345.1621040639. The cubic root of 235474000 is about 617.5152023007.

The spelling of 235474000 in words is "two hundred thirty-five million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5119 5750 9200 10238 11500 20476 23000 25595 40952 46000 51190 81904 102380 117737 127975 204760 235474 255950 409520 470948 511900 588685 639875 941896 1023800 1177370 1279750 1883792 2047600 2354740 2559500 2943425 4709480 5119000 5886850 9418960 10238000 11773700 14717125 23547400 29434250 47094800 58868500 117737000 235474000