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232213312023200 = 255217101169054537
BaseRepresentation
bin110100110011001001011111…
…111110011010101010100000
31010110012101010222101012100022
4310303021133332122222200
5220414040330334220300
62141513153422413012
766624600226550264
oct6463113776325240
91113171128335308
10232213312023200
1167a99126937452
12220645b4431168
139c758101a0861
14414b2818d00a4
151bca603d03285
hexd3325ff9aaa0

232213312023200 has 144 divisors (see below), whose sum is σ = 606180209342904. Its totient is φ = 86555922432000.

The previous prime is 232213312023169. The next prime is 232213312023233. The reversal of 232213312023200 is 2320213312232.

It can be written as a sum of positive squares in 12 ways, for example, as 144622655639056 + 87590656384144 = 12025916^2 + 9358988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232213312023200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83153669 + ... + 85900868.

Almost surely, 2232213312023200 is an apocalyptic number.

232213312023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232213312023200 is an abundant number, since it is smaller than the sum of its proper divisors (373966897319704).

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

232213312023200 is a wasteful number, since it uses less digits than its factorization.

232213312023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169054675 (or 169054662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 232213312023200 its reverse (2320213312232), we get a palindrome (234533525335432).

The spelling of 232213312023200 in words is "two hundred thirty-two trillion, two hundred thirteen billion, three hundred twelve million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 101 136 160 170 200 202 272 340 400 404 425 505 544 680 800 808 850 1010 1360 1616 1700 1717 2020 2525 2720 3232 3400 3434 4040 5050 6800 6868 8080 8585 10100 13600 13736 16160 17170 20200 27472 34340 40400 42925 54944 68680 80800 85850 137360 171700 274720 343400 686800 1373600 169054537 338109074 676218148 845272685 1352436296 1690545370 2704872592 2873927129 3381090740 4226363425 5409745184 5747854258 6762181480 8452726850 11495708516 13524362960 14369635645 16905453700 17074508237 22991417032 27048725920 28739271290 33810907400 34149016474 45982834064 57478542580 67621814800 68298032948 71848178225 85372541185 91965668128 114957085160 135243629600 136596065896 143696356450 170745082370 229914170320 273192131792 287392712900 290266640029 341490164740 426862705925 459828340640 546384263584 574785425800 580533280058 682980329480 853725411850 1149570851600 1161066560116 1365960658960 1451333200145 1707450823700 2299141703200 2322133120232 2731921317920 2902666400290 3414901647400 4644266240464 5805332800580 6829803294800 7256666000725 9288532480928 11610665601160 13659606589600 14513332001450 23221331202320 29026664002900 46442662404640 58053328005800 116106656011600 232213312023200