Search a number
-
+
238145520 = 24351758369
BaseRepresentation
bin11100011000111…
…00111111110000
3121121010001020110
432030130333300
5441431124040
635344141320
75621126544
oct1614347760
9547101213
10238145520
11112477288
1267907840
133a451a12
14238b1a24
1515d91980
hexe31cff0

238145520 has 80 divisors (see below), whose sum is σ = 781691040. Its totient is φ = 59768832.

The previous prime is 238145471. The next prime is 238145521. The reversal of 238145520 is 25541832.

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 (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238145521) 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, 25105 + ... + 33264.

It is an arithmetic number, because the mean of its divisors is an integer number (9771138).

Almost surely, 2238145520 is an apocalyptic number.

238145520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238145520 is an abundant number, since it is smaller than the sum of its proper divisors (543545520).

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

238145520 is a wasteful number, since it uses less digits than its factorization.

238145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58402 (or 58396 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 238145520 is about 15431.9642301296. The cubic root of 238145520 is about 619.8417216503.

The spelling of 238145520 in words is "two hundred thirty-eight million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 58369 116738 175107 233476 291845 350214 466952 583690 700428 875535 933904 992273 1167380 1400856 1751070 1984546 2334760 2801712 2976819 3502140 3969092 4669520 4961365 5953638 7004280 7938184 9922730 11907276 14008560 14884095 15876368 19845460 23814552 29768190 39690920 47629104 59536380 79381840 119072760 238145520