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230323212300 = 223527910699091
BaseRepresentation
bin1101011010000001010…
…1010101000000001100
3211000111121202110210110
43112200111111000030
512233200220243200
6253450425440020
722432424000526
oct3264025250014
9730447673713
10230323212300
11897524a3435
123877a940010
131894764b64c
14b20d422a16
155ed0644b50
hex35a055500c

230323212300 has 144 divisors (see below), whose sum is σ = 675542873600. Its totient is φ = 60578668800.

The previous prime is 230323212299. The next prime is 230323212319. The reversal of 230323212300 is 3212323032.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25330755 + ... + 25339845.

Almost surely, 2230323212300 is an apocalyptic number.

230323212300 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 230323212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337771436800).

230323212300 is an abundant number, since it is smaller than the sum of its proper divisors (445219661300).

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

230323212300 is a wasteful number, since it uses less digits than its factorization.

230323212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230323212300 its reverse (3212323032), we get a palindrome (233535535332).

The spelling of 230323212300 in words is "two hundred thirty billion, three hundred twenty-three million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1069 1185 1580 1975 2138 2370 3207 3950 4276 4740 5345 5925 6414 7900 9091 10690 11850 12828 16035 18182 21380 23700 26725 27273 32070 36364 45455 53450 54546 64140 80175 84451 90910 106900 109092 136365 160350 168902 181820 227275 253353 272730 320700 337804 422255 454550 506706 545460 681825 718189 844510 909100 1013412 1266765 1363650 1436378 1689020 2111275 2154567 2533530 2727300 2872756 3590945 4222550 4309134 5067060 6333825 7181890 8445100 8618268 9718279 10772835 12667650 14363780 17954725 19436558 21545670 25335300 29154837 35909450 38873116 43091340 48591395 53864175 58309674 71818900 97182790 107728350 116619348 145774185 194365580 215456700 242956975 291548370 485913950 583096740 728870925 767744041 971827900 1457741850 1535488082 2303232123 2915483700 3070976164 3838720205 4606464246 7677440410 9212928492 11516160615 15354880820 19193601025 23032321230 38387202050 46064642460 57580803075 76774404100 115161606150 230323212300