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232221015113304 = 233710714478927707
BaseRepresentation
bin110100110011010000101011…
…000111010111111001011000
31010110020010000211002201102210
4310303100223013113321120
5220414202114332111204
62141520510034355120
766625262144001030
oct6463205307277130
91113203024081383
10232221015113304
1167aa141a051018
1222065ba412baa0
139c7646a058539
14414b7b298a8c0
151bca905200389
hexd3342b1d7e58

232221015113304 has 128 divisors (see below), whose sum is σ = 670152330178560. Its totient is φ = 65683347113088.

The previous prime is 232221015113303. The next prime is 232221015113317. The reversal of 232221015113304 is 403311510122232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221015113303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21547419 + ... + 30475125.

It is an arithmetic number, because the mean of its divisors is an integer number (5235565079520).

Almost surely, 2232221015113304 is an apocalyptic number.

232221015113304 is a gapful number since it is divisible by the number (24) 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 232221015113304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335076165089280).

232221015113304 is an abundant number, since it is smaller than the sum of its proper divisors (437931315065256).

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

232221015113304 is a wasteful number, since it uses less digits than its factorization.

232221015113304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929277 (or 8929273 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 232221015113304 its reverse (403311510122232), we get a palindrome (635532525235536).

The spelling of 232221015113304 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, fifteen million, one hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1447 1498 2247 2568 2894 2996 4341 4494 5788 5992 8682 8988 10129 11576 17364 17976 20258 30387 34728 40516 60774 81032 121548 154829 243096 309658 464487 619316 928974 1083803 1238632 1857948 2167606 3251409 3715896 4335212 6502818 8670424 8927707 13005636 17855414 26011272 26783121 35710828 53566242 62493949 71421656 107132484 124987898 187481847 214264968 249975796 374963694 499951592 749927388 955264649 1499854776 1910529298 2865793947 3821058596 5731587894 6686852543 7642117192 11463175788 12918392029 13373705086 20060557629 22926351576 25836784058 26747410172 38755176087 40121115258 51673568116 53494820344 77510352174 80242230516 90428744203 103347136232 155020704348 160484461032 180857488406 271286232609 310041408696 361714976812 542572465218 723429953624 1085144930436 1382267947103 2170289860872 2764535894206 4146803841309 5529071788412 8293607682618 9675875629721 11058143576824 16587215365236 19351751259442 29027626889163 33174430730472 38703502518884 58055253778326 77407005037768 116110507556652 232221015113304