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230110074432 = 2632728152993
BaseRepresentation
bin1101011001001110100…
…0010001011001000000
3210222221202200221121100
43112103220101121000
512232231134340212
6253413333254400
722424225234400
oct3262350213100
9728852627540
10230110074432
1189653157837
123871b494400
1318912444474
14b1ccdc0800
155ebba92bdc
hex3593a11640

230110074432 has 126 divisors (see below), whose sum is σ = 767253806358. Its totient is φ = 65745727488.

The previous prime is 230110074421. The next prime is 230110074443. The reversal of 230110074432 is 234470011032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230110074421) and next prime (230110074443).

It can be written as a sum of positive squares in only one way, i.e., 139475359296 + 90634715136 = 373464^2 + 301056^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 230110074396 and 230110074405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4048273 + ... + 4104720.

Almost surely, 2230110074432 is an apocalyptic number.

It is an amenable number.

230110074432 is an abundant number, since it is smaller than the sum of its proper divisors (537143731926).

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

230110074432 is a wasteful number, since it uses less digits than its factorization.

230110074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153025 (or 8153005 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 230110074432 its reverse (234470011032), we get a palindrome (464580085464).

The spelling of 230110074432 in words is "two hundred thirty billion, one hundred ten million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 8152993 16305986 24458979 32611972 48917958 57070951 65223944 73376937 97835916 114141902 130447888 146753874 171212853 195671832 228283804 260895776 293507748 342425706 391343664 399496657 456567608 513638559 521791552 587015496 684851412 782687328 798993314 913135216 1027277118 1174030992 1198489971 1369702824 1565374656 1597986628 1826270432 2054554236 2348061984 2396979942 2739405648 3195973256 3595469913 3652540864 4109108472 4696123968 4793959884 5478811296 6391946512 7190939826 8218216944 9587919768 10957622592 12783893024 14381879652 16436433888 19175839536 25567786048 28763759304 32872867776 38351679072 57527518608 76703358144 115055037216 230110074432