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230221233120 = 25351779126959
BaseRepresentation
bin1101011001101001000…
…0010011101111100000
3211000020111212101122210
43112122100103233200
512232443113424440
6253432344002120
722430045123244
oct3263220235740
9730214771583
10230221233120
11896aa97aa1a
1238750760340
131892c494038
14b1dda78424
155ec66eda80
hex359a413be0

230221233120 has 96 divisors (see below), whose sum is σ = 725264547840. Its totient is φ = 61386600960.

The previous prime is 230221233101. The next prime is 230221233127. The reversal of 230221233120 is 21332122032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230221233127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8526201 + ... + 8553159.

It is an arithmetic number, because the mean of its divisors is an integer number (7554839040).

Almost surely, 2230221233120 is an apocalyptic number.

230221233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230221233120 is an abundant number, since it is smaller than the sum of its proper divisors (495043314720).

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

230221233120 is a wasteful number, since it uses less digits than its factorization.

230221233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44768 (or 44760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230221233120 its reverse (21332122032), we get a palindrome (251553355152).

It can be divided in two parts, 2302212 and 33120, that added together give a palindrome (2335332).

The spelling of 230221233120 in words is "two hundred thirty billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 17791 26959 35582 53373 53918 71164 80877 88955 106746 107836 134795 142328 161754 177910 213492 215672 266865 269590 284656 323508 355820 404385 426984 431344 533730 539180 569312 647016 711640 808770 853968 862688 1067460 1078360 1294032 1423280 1617540 1707936 2134920 2156720 2588064 2846560 3235080 4269840 4313440 6470160 8539680 12940320 479627569 959255138 1438882707 1918510276 2398137845 2877765414 3837020552 4796275690 5755530828 7194413535 7674041104 9592551380 11511061656 14388827070 15348082208 19185102760 23022123312 28777654140 38370205520 46044246624 57555308280 76740411040 115110616560 230221233120