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230110023220 = 225711337443389
BaseRepresentation
bin1101011001001110100…
…0000100111000110100
3210222221202121100100121
43112103220010320310
512232231131220340
6253413332221324
722424224632160
oct3262350047064
9728852540317
10230110023220
1189653122310
123871b46a844
131891242706c
14b1ccda9ca0
155ebba8294a
hex3593a04e34

230110023220 has 96 divisors (see below), whose sum is σ = 604258986240. Its totient is φ = 71509616640.

The previous prime is 230110023139. The next prime is 230110023239. The reversal of 230110023220 is 22320011032.

It is a junction number, because it is equal to n+sod(n) for n = 230110023194 and 230110023203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 297286 + ... + 740674.

It is an arithmetic number, because the mean of its divisors is an integer number (6294364440).

Almost surely, 2230110023220 is an apocalyptic number.

230110023220 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 230110023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302129493120).

230110023220 is an abundant number, since it is smaller than the sum of its proper divisors (374148963020).

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

230110023220 is a wasteful number, since it uses less digits than its factorization.

230110023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443753 (or 443751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230110023220 its reverse (22320011032), we get a palindrome (252430034252).

The spelling of 230110023220 in words is "two hundred thirty billion, one hundred ten million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 337 385 674 770 1348 1540 1685 2359 3370 3707 4718 6740 7414 9436 11795 14828 18535 23590 25949 37070 47180 51898 74140 103796 129745 259490 443389 518980 886778 1773556 2216945 3103723 4433890 4877279 6207446 8867780 9754558 12414892 15518615 19509116 24386395 31037230 34140953 48772790 62074460 68281906 97545580 136563812 149422093 170704765 298844186 341409530 597688372 682819060 747110465 1045954651 1494220930 1643643023 2091909302 2988441860 3287286046 4183818604 5229773255 6574572092 8218215115 10459546510 11505501161 16436430230 20919093020 23011002322 32872860460 46022004644 57527505805 115055011610 230110023220