Search a number
-
+
231702339848 = 237192383114073
BaseRepresentation
bin1101011111001010001…
…0010010000100001000
3211011001201211102010112
43113302202102010020
512244011244333343
6254235333133452
722511541251540
oct3276242220410
9734051742115
10231702339848
118a29aa26371
1238aa478a288
1318b0729c855
14b300660320
156061765218
hex35f2892108

231702339848 has 128 divisors (see below), whose sum is σ = 551935641600. Its totient is φ = 88899503616.

The previous prime is 231702339809. The next prime is 231702339863. The reversal of 231702339848 is 848933207132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 231702339796 and 231702339805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974140 + ... + 2088212.

It is an arithmetic number, because the mean of its divisors is an integer number (4311997200).

Almost surely, 2231702339848 is an apocalyptic number.

231702339848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231702339848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275967820800).

231702339848 is an abundant number, since it is smaller than the sum of its proper divisors (320233301752).

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

231702339848 is a wasteful number, since it uses less digits than its factorization.

231702339848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114211 (or 114207 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 231702339848 in words is "two hundred thirty-one billion, seven hundred two million, three hundred thirty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 83 92 133 152 161 166 184 266 322 332 437 532 581 644 664 874 1064 1162 1288 1577 1748 1909 2324 3059 3154 3496 3818 4648 6118 6308 7636 11039 12236 12616 13363 15272 22078 24472 26726 36271 44156 53452 72542 88312 106904 114073 145084 228146 253897 290168 456292 507794 798511 912584 1015588 1597022 2031176 2167387 2623679 3194044 4334774 5247358 6388088 8669548 9468059 10494716 15171709 17339096 18365753 18936118 20989432 30343418 36731506 37872236 49849901 60686836 66276413 73463012 75744472 99699802 121373672 132552826 146926024 179893121 199399604 217765357 265105652 348949307 359786242 398799208 435530714 530211304 697898614 719572484 871061428 1259251847 1395797228 1439144968 1524357499 1742122856 2518503694 2791594456 3048714998 4137541783 5037007388 6097429996 8275083566 10074014776 12194859992 16550167132 28962792481 33100334264 57925584962 115851169924 231702339848