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32230313120 = 2553113747431
BaseRepresentation
bin11110000001000100…
…111000110010100000
310002012012000112210202
4132001010320302200
51012001430004440
622450103244332
72220461066315
oct360104706240
9102165015722
1032230313120
111273a198315
1262b5a496a8
13306847b0c5
1417ba736d0c
15c89832615
hex781138ca0

32230313120 has 96 divisors (see below), whose sum is σ = 79175771136. Its totient is φ = 12384921600.

The previous prime is 32230313081. The next prime is 32230313123. The reversal of 32230313120 is 2131303223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32230313092 and 32230313101.

It is not an unprimeable number, because it can be changed into a prime (32230313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655805 + ... + 703235.

It is an arithmetic number, because the mean of its divisors is an integer number (824747616).

Almost surely, 232230313120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32230313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39587885568).

32230313120 is an abundant number, since it is smaller than the sum of its proper divisors (46945458016).

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

32230313120 is a wasteful number, since it uses less digits than its factorization.

32230313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47614 (or 47606 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32230313120 its reverse (2131303223), we get a palindrome (34361616343).

The spelling of 32230313120 in words is "thirty-two billion, two hundred thirty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 137 155 160 248 274 310 496 548 620 685 992 1096 1240 1370 2192 2480 2740 4247 4384 4960 5480 8494 10960 16988 21235 21920 33976 42470 47431 67952 84940 94862 135904 169880 189724 237155 339760 379448 474310 679520 758896 948620 1470361 1517792 1897240 2940722 3794480 5881444 6498047 7351805 7588960 11762888 12996094 14703610 23525776 25992188 29407220 32490235 47051552 51984376 58814440 64980470 103968752 117628880 129960940 201439457 207937504 235257760 259921880 402878914 519843760 805757828 1007197285 1039687520 1611515656 2014394570 3223031312 4028789140 6446062624 8057578280 16115156560 32230313120