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230403304032 = 253111012160247
BaseRepresentation
bin1101011010010100011…
…0110110101001100000
3211000201012110112222220
43112211012312221200
512233331221212112
6253502410231040
722434415525236
oct3264506665140
9730635415886
10230403304032
1189793727550
12387a1725480
131895b1116c5
14b219d10956
155ed76b598c
hex35a51b6a60

230403304032 has 96 divisors (see below), whose sum is σ = 666324175104. Its totient is φ = 69127872000.

The previous prime is 230403303997. The next prime is 230403304067.

230403304032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (230403303997) and next prime (230403304067).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230403303993 and 230403304011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973468 + ... + 1186779.

It is an arithmetic number, because the mean of its divisors is an integer number (6940876824).

Almost surely, 2230403304032 is an apocalyptic number.

230403304032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230403304032 is an abundant number, since it is smaller than the sum of its proper divisors (435920871072).

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

230403304032 is a wasteful number, since it uses less digits than its factorization.

230403304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160372 (or 2160364 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 230403 and 304032, that added together give a palindrome (534435).

The spelling of 230403304032 in words is "two hundred thirty billion, four hundred three million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 13332 17776 26664 35552 53328 106656 2160247 4320494 6480741 8640988 12961482 17281976 23762717 25922964 34563952 47525434 51845928 69127904 71288151 95050868 103691856 142576302 190101736 207383712 218184947 285152604 380203472 436369894 570305208 654554841 760406944 872739788 1140610416 1309109682 1745479576 2281220832 2400034417 2618219364 3490959152 4800068834 5236438728 6981918304 7200103251 9600137668 10472877456 14400206502 19200275336 20945754912 28800413004 38400550672 57600826008 76801101344 115201652016 230403304032