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235164480 = 2635298447
BaseRepresentation
bin11100000010001…
…01001101000000
3121101111121000120
432001011031000
5440200230410
635200220240
75553602505
oct1601051500
9541447016
10235164480
11110820611
126690a680
1339949ba5
14233374ac
15159a3570
hexe045340

235164480 has 112 divisors (see below), whose sum is σ = 772485120. Its totient is φ = 60540928.

The previous prime is 235164467. The next prime is 235164487. The reversal of 235164480 is 84461532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235164487) 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, 23617 + ... + 32063.

Almost surely, 2235164480 is an apocalyptic number.

235164480 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 235164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242560).

235164480 is an abundant number, since it is smaller than the sum of its proper divisors (537320640).

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

235164480 is a wasteful number, since it uses less digits than its factorization.

235164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 235164480 is about 15335.0735244406. The cubic root of 235164480 is about 617.2445183300.

The spelling of 235164480 in words is "two hundred thirty-five million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 6960 8447 9280 13920 16894 25341 27840 33788 42235 50682 67576 84470 101364 126705 135152 168940 202728 244963 253410 270304 337880 405456 489926 506820 540608 675760 734889 810912 979852 1013640 1224815 1351520 1469778 1621824 1959704 2027280 2449630 2703040 2939556 3674445 3919408 4054560 4899260 5879112 7348890 7838816 8109120 9798520 11758224 14697780 15677632 19597040 23516448 29395560 39194080 47032896 58791120 78388160 117582240 235164480