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232221013401040 = 24529505919785583
BaseRepresentation
bin110100110011010000101011…
…000000110101110111010000
31010110020010000200212201122121
4310303100223000311313100
5220414202113412313130
62141520505533544024
766625262123310016
oct6463205300656720
91113203020781577
10232221013401040
1167aa1419091624
1222065ba3645014
139c764698a9071
14414b7b26628b6
151bca904eb2d7a
hexd3342b035dd0

232221013401040 has 80 divisors (see below), whose sum is σ = 558642007123200. Its totient is φ = 89667624485376.

The previous prime is 232221013401031. The next prime is 232221013401049. The reversal of 232221013401040 is 40104310122232.

It is an interprime number because it is at equal distance from previous prime (232221013401031) and next prime (232221013401049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 232221013400996 and 232221013401014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221013401049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844089 + ... + 21629671.

It is an arithmetic number, because the mean of its divisors is an integer number (6983025089040).

Almost surely, 2232221013401040 is an apocalyptic number.

232221013401040 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 232221013401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279321003561600).

232221013401040 is an abundant number, since it is smaller than the sum of its proper divisors (326420993722160).

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

232221013401040 is a wasteful number, since it uses less digits than its factorization.

232221013401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19790684 (or 19790678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 232221013401040 its reverse (40104310122232), we get a palindrome (272325323523272).

The spelling of 232221013401040 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, thirteen million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5059 10118 20236 25295 40472 50590 80944 101180 146711 202360 293422 404720 586844 733555 1173688 1467110 2347376 2934220 5868440 11736880 19785583 39571166 79142332 98927915 158284664 197855830 316569328 395711660 573781907 791423320 1147563814 1582846640 2295127628 2868909535 4590255256 5737819070 9180510512 11475638140 22951276280 45902552560 100095264397 200190528794 400381057588 500476321985 800762115176 1000952643970 1601524230352 2001905287940 2902762667513 4003810575880 5805525335026 8007621151760 11611050670052 14513813337565 23222101340104 29027626675130 46444202680208 58055253350260 116110506700520 232221013401040