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230333210320 = 24517316642573
BaseRepresentation
bin1101011010000011101…
…1011101111011010000
3211000112022120102111111
43112200323131323100
512233210300212240
6253451424023104
722432604661343
oct3264073357320
9730468512444
10230333210320
1189758102064
1238782161a94
131894973c335
14b2108a645a
155ed146c1ea
hex35a0edded0

230333210320 has 40 divisors (see below), whose sum is σ = 538620264936. Its totient is φ = 91600716288.

The previous prime is 230333210293. The next prime is 230333210321. The reversal of 230333210320 is 23012333032.

It can be written as a sum of positive squares in 4 ways, for example, as 27108963904 + 203224246416 = 164648^2 + 450804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 230333210291 and 230333210300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333210321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8307447 + ... + 8335126.

Almost surely, 2230333210320 is an apocalyptic number.

230333210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230333210320 is an abundant number, since it is smaller than the sum of its proper divisors (308287054616).

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

230333210320 is a wasteful number, since it uses less digits than its factorization.

230333210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642759 (or 16642753 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 230333210320 its reverse (23012333032), we get a palindrome (253345543352).

The spelling of 230333210320 in words is "two hundred thirty billion, three hundred thirty-three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 16642573 33285146 66570292 83212865 133140584 166425730 266281168 332851460 665702920 1331405840 2879165129 5758330258 11516660516 14395825645 23033321032 28791651290 46066642064 57583302580 115166605160 230333210320