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230322033520 = 24559253919219
BaseRepresentation
bin1101011010000001000…
…0110101001101110000
3211000111112112120210221
43112200100311031300
512233144420033040
6253450344302424
722432410661045
oct3264020651560
9730445476727
10230322033520
1189751868837
123877a471a14
1318947327c47
14b20d1d71cc
155ed04b074a
hex35a0435370

230322033520 has 80 divisors (see below), whose sum is σ = 544817808000. Its totient is φ = 90526927104.

The previous prime is 230322033499. The next prime is 230322033569. The reversal of 230322033520 is 25330223032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11974471 + ... + 11993689.

It is an arithmetic number, because the mean of its divisors is an integer number (6810222600).

Almost surely, 2230322033520 is an apocalyptic number.

230322033520 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 230322033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272408904000).

230322033520 is an abundant number, since it is smaller than the sum of its proper divisors (314495774480).

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

230322033520 is a wasteful number, since it uses less digits than its factorization.

230322033520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21830 (or 21824 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

Adding to 230322033520 its reverse (25330223032), we get a palindrome (255652256552).

The spelling of 230322033520 in words is "two hundred thirty billion, three hundred twenty-two million, thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 2539 4720 5078 10156 12695 19219 20312 25390 38438 40624 50780 76876 96095 101560 149801 153752 192190 203120 299602 307504 384380 599204 749005 768760 1133921 1198408 1498010 1537520 2267842 2396816 2996020 4535684 5669605 5992040 9071368 11339210 11984080 18142736 22678420 45356840 48797041 90713680 97594082 195188164 243985205 390376328 487970410 780752656 975940820 1951881640 2879025419 3903763280 5758050838 11516101676 14395127095 23032203352 28790254190 46064406704 57580508380 115161016760 230322033520