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232775040 = 2735412957
BaseRepresentation
bin11011101111111…
…01110110000000
3121020000012022210
431313331312000
5434042300130
635033102120
75524361301
oct1567756600
9536005283
10232775040
1110a439373
1265b57940
13392c1414
1422cb47a8
15156805b0
hexddfdd80

232775040 has 128 divisors (see below), whose sum is σ = 760324320. Its totient is φ = 60538880.

The previous prime is 232775021. The next prime is 232775041. The reversal of 232775040 is 40577232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232774989 and 232775007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232775041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77242 + ... + 80198.

Almost surely, 2232775040 is an apocalyptic number.

232775040 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 232775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380162160).

232775040 is an abundant number, since it is smaller than the sum of its proper divisors (527549280).

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

232775040 is a wasteful number, since it uses less digits than its factorization.

232775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 232775040 is about 15256.9669331752. The cubic root of 232775040 is about 615.1468484019.

The spelling of 232775040 in words is "two hundred thirty-two million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 2957 3280 3936 4920 5248 5914 6560 7872 8871 9840 11828 13120 14785 15744 17742 19680 23656 26240 29570 35484 39360 44355 47312 59140 70968 78720 88710 94624 118280 121237 141936 177420 189248 236560 242474 283872 354840 363711 378496 473120 484948 567744 606185 709680 727422 946240 969896 1135488 1212370 1419360 1454844 1818555 1892480 1939792 2424740 2838720 2909688 3637110 3879584 4849480 5677440 5819376 7274220 7759168 9698960 11638752 14548440 15518336 19397920 23277504 29096880 38795840 46555008 58193760 77591680 116387520 232775040