Search a number
-
+
232245113254000 = 24537111508085151
BaseRepresentation
bin110100110011100111000111…
…011110011111000001110000
31010110022102020021000002212021
4310303213013132133001300
5220420100442443112000
62141535533201241224
766630104260551010
oct6463470736370160
91113272207002767
10232245113254000
11680006658a5880
122206a7aa633214
139c7880a796ca2
14414ca1b251c40
151bcb365b2a11a
hexd339c779f070

232245113254000 has 160 divisors (see below), whose sum is σ = 700137580326912. Its totient is φ = 72388087200000.

The previous prime is 232245113253943. The next prime is 232245113254013. The reversal of 232245113254000 is 452311542232.

It is a congruent number.

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, 753888576 + ... + 754196575.

Almost surely, 2232245113254000 is an apocalyptic number.

232245113254000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232245113254000 is an abundant number, since it is smaller than the sum of its proper divisors (467892467072912).

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

232245113254000 is a wasteful number, since it uses less digits than its factorization.

232245113254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508085192 (or 1508085176 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 232245113254000 its reverse (452311542232), we get a palindrome (232697424796232).

The spelling of 232245113254000 in words is "two hundred thirty-two trillion, two hundred forty-five billion, one hundred thirteen million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 1508085151 3016170302 6032340604 7540425755 10556596057 12064681208 15080851510 16588936661 21113192114 24129362416 30161703020 33177873322 37702128775 42226384228 52782980285 60323406040 66355746644 75404257550 82944683305 84452768456 105565960570 116122556627 120646812080 132711493288 150808515100 165889366610 168905536912 188510643875 211131921140 232245113254 263914901425 265422986576 301617030200 331778733220 377021287750 414723416525 422263842280 464490226508 527829802850 580612783135 603234060400 663557466440 754042575500 829446833050 844527684560 928980453016 1055659605700 1161225566270 1319574507125 1327114932880 1508085151000 1658893666100 1857960906032 2073617082625 2111319211400 2322451132540 2639149014250 2903063915675 3016170302000 3317787332200 4147234165250 4222638422800 4644902265080 5278298028500 5806127831350 6635574664400 8294468330500 9289804530160 10556596057000 11612255662700 14515319578375 16588936661000 21113192114000 23224511325400 29030639156750 33177873322000 46449022650800 58061278313500 116122556627000 232245113254000