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238551680 = 2752912853
BaseRepresentation
bin11100011100000…
…00001010000000
3121121212200101102
432032000022000
5442032123210
635400553532
75624440643
oct1616001200
9547780342
10238551680
11112724454
1267a828a8
133a564853
1423979a5a
1515e21ea5
hexe380280

238551680 has 64 divisors (see below), whose sum is σ = 589998600. Its totient is φ = 92123136.

The previous prime is 238551679. The next prime is 238551697. The reversal of 238551680 is 86155832.

It can be written as a sum of positive squares in 4 ways, for example, as 165688384 + 72863296 = 12872^2 + 8536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12134 + ... + 24986.

Almost surely, 2238551680 is an apocalyptic number.

238551680 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 238551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294999300).

238551680 is an abundant number, since it is smaller than the sum of its proper divisors (351446920).

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

238551680 is a wasteful number, since it uses less digits than its factorization.

238551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12901 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 238551680 is about 15445.1183226287. The cubic root of 238551680 is about 620.1939039707.

The spelling of 238551680 in words is "two hundred thirty-eight million, five hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 12853 18560 25706 51412 64265 102824 128530 205648 257060 372737 411296 514120 745474 822592 1028240 1490948 1645184 1863685 2056480 2981896 3727370 4112960 5963792 7454740 8225920 11927584 14909480 23855168 29818960 47710336 59637920 119275840 238551680