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2232341111140 = 2257223239341387
BaseRepresentation
bin100000011111000001111…
…001100010000101100100
321220102001200122012120121
4200133001321202011210
5243033313311024030
64425305013211324
7320165331235600
oct40370171420544
97812050565517
102232341111140
117908043a6508
12300786630b44
1313267cc85caa
147a08dcaa500
153d10586d47a
hex207c1e62164

2232341111140 has 144 divisors (see below), whose sum is σ = 5692905493632. Its totient is φ = 731773346304.

The previous prime is 2232341111107. The next prime is 2232341111183. The reversal of 2232341111140 is 411111432322.

It is a super-3 number, since 3×22323411111403 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53917527 + ... + 53958913.

It is an arithmetic number, because the mean of its divisors is an integer number (39534065928).

Almost surely, 22232341111140 is an apocalyptic number.

2232341111140 is a gapful number since it is divisible by the number (20) 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 2232341111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846452746816).

2232341111140 is an abundant number, since it is smaller than the sum of its proper divisors (3460564382492).

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

2232341111140 is a wasteful number, since it uses less digits than its factorization.

2232341111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43826 (or 43817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 2232341111140 its reverse (411111432322), we get a palindrome (2643452543462).

The spelling of 2232341111140 in words is "two trillion, two hundred thirty-two billion, three hundred forty-one million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 2393 3220 4508 4786 5635 9572 11270 11965 16751 22540 23930 33502 41387 47860 55039 67004 82774 83755 110078 117257 165548 167510 206935 220156 234514 275195 289709 335020 385273 413870 469028 550390 579418 586285 770546 827740 951901 1100780 1158836 1172570 1448545 1541092 1903802 1926365 2027963 2345140 2696911 2897090 3807604 3852730 4055926 4759505 5393822 5794180 6663307 7705460 8111852 9519010 10139815 10787644 13326614 13484555 19038020 20279630 26653228 26969110 33316535 40559260 46643149 53938220 66633070 93286298 99039091 133266140 186572596 198078182 233215745 396156364 466431490 495195455 693273637 932862980 990390910 1386547274 1980781820 2277899093 2773094548 3466368185 4555798186 4852915459 6932736370 9111596372 9705830918 11389495465 13865472740 15945293651 19411661836 22778990930 24264577295 31890587302 45557981860 48529154590 63781174604 79726468255 97058309180 111617055557 159452936510 223234111114 318905873020 446468222228 558085277785 1116170555570 2232341111140