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230332002320 = 24573831073909
BaseRepresentation
bin1101011010000011011…
…0110111000000010000
3211000112020022001102202
43112200312313000100
512233204443033240
6253451342102332
722432561500440
oct3264066670020
9730466261382
10230332002320
1189757457512
123878187a9a8
1318949408544
14b210670120
155ed12ce315
hex35a0db7010

230332002320 has 80 divisors (see below), whose sum is σ = 613623582720. Its totient is φ = 78764708352.

The previous prime is 230332002311. The next prime is 230332002323. The reversal of 230332002320 is 23200233032.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 230332002292 and 230332002301.

It is not an unprimeable number, because it can be changed into a prime (230332002323) 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, 322475 + ... + 751434.

It is an arithmetic number, because the mean of its divisors is an integer number (7670294784).

Almost surely, 2230332002320 is an apocalyptic number.

230332002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230332002320 is an abundant number, since it is smaller than the sum of its proper divisors (383291580400).

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

230332002320 is a wasteful number, since it uses less digits than its factorization.

230332002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074312 (or 1074306 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 230332002320 its reverse (23200233032), we get a palindrome (253532235352).

The spelling of 230332002320 in words is "two hundred thirty billion, three hundred thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 383 560 766 1532 1915 2681 3064 3830 5362 6128 7660 10724 13405 15320 21448 26810 30640 42896 53620 107240 214480 1073909 2147818 4295636 5369545 7517363 8591272 10739090 15034726 17182544 21478180 30069452 37586815 42956360 60138904 75173630 85912720 120277808 150347260 300694520 411307147 601389040 822614294 1645228588 2056535735 2879150029 3290457176 4113071470 5758300058 6580914352 8226142940 11516600116 14395750145 16452285880 23033200232 28791500290 32904571760 46066400464 57583000580 115166001160 230332002320