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235242700 = 2252711137223
BaseRepresentation
bin11100000010110…
…00010011001100
3121101122120022121
432001120103030
5440210231300
635202022324
75554346530
oct1601302314
9541576277
10235242700
11110874360
12669479a4
1339976684
1423357bc0
15159bb81a
hexe0584cc

235242700 has 144 divisors (see below), whose sum is σ = 643958784. Its totient is φ = 72460800.

The previous prime is 235242691. The next prime is 235242703. The reversal of 235242700 is 7242532.

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

It is not an unprimeable number, because it can be changed into a prime (235242703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054789 + ... + 1055011.

It is an arithmetic number, because the mean of its divisors is an integer number (4471936).

Almost surely, 2235242700 is an apocalyptic number.

235242700 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 235242700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321979392).

235242700 is an abundant number, since it is smaller than the sum of its proper divisors (408716084).

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

235242700 is a wasteful number, since it uses less digits than its factorization.

235242700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

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

The square root of 235242700 is about 15337.6236751330. The cubic root of 235242700 is about 617.3129463428.

The spelling of 235242700 in words is "two hundred thirty-five million, two hundred forty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 137 140 154 175 220 223 274 275 308 350 385 446 548 550 685 700 770 892 959 1100 1115 1370 1507 1540 1561 1918 1925 2230 2453 2740 3014 3122 3425 3836 3850 4460 4795 4906 5575 6028 6244 6850 7535 7700 7805 9590 9812 10549 11150 12265 13700 15070 15610 17171 19180 21098 22300 23975 24530 30140 30551 31220 34342 37675 39025 42196 47950 49060 52745 61102 61325 68684 75350 78050 85855 95900 105490 122204 122650 150700 152755 156100 171710 210980 213857 245300 263725 305510 336061 343420 427714 429275 527450 611020 672122 763775 855428 858550 1054900 1069285 1344244 1527550 1680305 1717100 2138570 2352427 3055100 3360610 4277140 4704854 5346425 6721220 8401525 9409708 10692850 11762135 16803050 21385700 23524270 33606100 47048540 58810675 117621350 235242700