Search a number
-
+
232221132511000 = 23531929421453961
BaseRepresentation
bin110100110011010000110010…
…000111001101011100011000
31010110020010100000000010210121
4310303100302013031130120
5220414202334410323000
62141520525430523024
766625265100603253
oct6463206207153430
91113203300003717
10232221132511000
1167aa147a345706
1222066017506474
139c76488480b29
14414b7c43ca09a
151bca91068eb1a
hexd334321cd718

232221132511000 has 128 divisors (see below), whose sum is σ = 591721362648000. Its totient is φ = 84965118336000.

The previous prime is 232221132510979. The next prime is 232221132511063. The reversal of 232221132511000 is 115231122232.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 210175981 + ... + 211277980.

Almost surely, 2232221132511000 is an apocalyptic number.

232221132511000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232221132511000 is an abundant number, since it is smaller than the sum of its proper divisors (359500230137000).

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

232221132511000 is a wasteful number, since it uses less digits than its factorization.

232221132511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421454030 (or 421454016 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 232221132511000 its reverse (115231122232), we get a palindrome (232336363633232).

The spelling of 232221132511000 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, one hundred thirty-two million, five hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 125 145 152 190 200 232 250 290 380 475 500 551 580 725 760 950 1000 1102 1160 1450 1900 2204 2375 2755 2900 3625 3800 4408 4750 5510 5800 7250 9500 11020 13775 14500 19000 22040 27550 29000 55100 68875 110200 137750 275500 551000 421453961 842907922 1685815844 2107269805 3371631688 4214539610 8007625259 8429079220 10536349025 12222164869 16015250518 16858158440 21072698050 24444329738 32030501036 40038126295 42145396100 48888659476 52681745125 61110824345 64061002072 80076252590 84290792200 97777318952 105363490250 122221648690 160152505180 200190631475 210726980500 232221132511 244443297380 305554121725 320305010360 400381262950 421453961000 464442265022 488886594760 611108243450 800762525900 928884530044 1000953157375 1161105662555 1222216486900 1527770608625 1601525051800 1857769060088 2001906314750 2322211325110 2444432973800 3055541217250 4003812629500 4644422650220 5805528312775 6111082434500 8007625259000 9288845300440 11611056625550 12222164869000 23222113251100 29027641563875 46444226502200 58055283127750 116110566255500 232221132511000