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232021221330 = 23529509709739
BaseRepresentation
bin1101100000010110001…
…0101101111111010010
3211011212221212021021210
43120011202231333102
512300134413040310
6254331124000550
722522462561263
oct3300542557722
9734787767253
10232021221330
118a443a26788
1238b73530156
1318b5837b912
14b330b4a96a
15607e753820
hex36058adfd2

232021221330 has 128 divisors (see below), whose sum is σ = 578780640000. Its totient is φ = 59456775168.

The previous prime is 232021221259. The next prime is 232021221353. The reversal of 232021221330 is 33122120232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232021221297 and 232021221306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313966101 + ... + 313966839.

It is an arithmetic number, because the mean of its divisors is an integer number (4521723750).

Almost surely, 2232021221330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232021221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289390320000).

232021221330 is an abundant number, since it is smaller than the sum of its proper divisors (346759418670).

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

232021221330 is a wasteful number, since it uses less digits than its factorization.

232021221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996.

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

Adding to 232021221330 its reverse (33122120232), we get a palindrome (265143341562).

The spelling of 232021221330 in words is "two hundred thirty-two billion, twenty-one million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 509 709 739 870 1018 1418 1478 1527 2127 2217 2545 3054 3545 3695 4254 4434 5090 7090 7390 7635 10635 11085 14761 15270 20561 21270 21431 22170 29522 41122 42862 44283 61683 64293 73805 88566 102805 107155 123366 128586 147610 205610 214310 221415 308415 321465 360881 376151 442830 523951 616830 642930 721762 752302 1047902 1082643 1128453 1571853 1804405 1880755 2165286 2256906 2619755 3143706 3608810 3761510 5239510 5413215 5642265 7859265 10465549 10826430 10908379 11284530 15194579 15718530 20931098 21816758 30389158 31396647 32725137 45583737 52327745 54541895 62793294 65450274 75972895 91167474 104655490 109083790 151945790 156983235 163625685 227918685 266691059 313966470 327251370 455837370 533382118 800073177 1333455295 1600146354 2666910590 4000365885 7734040711 8000731770 15468081422 23202122133 38670203555 46404244266 77340407110 116010610665 232021221330