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132226333530 = 23537229643809
BaseRepresentation
bin111101100100101001…
…1011011101101011010
3110122022002011201002020
41323021103123231122
54131244420133110
6140424405115310
712360456201444
oct1731123335532
9418262151066
10132226333530
11510933554a5
12217623b8b36
13c6131c6355
14658503d494
15368d532d70
hex1ec94dbb5a

132226333530 has 128 divisors (see below), whose sum is σ = 328257619200. Its totient is φ = 34062280704.

The previous prime is 132226333517. The next prime is 132226333541. The reversal of 132226333530 is 35333622231.

It is a junction number, because it is equal to n+sod(n) for n = 132226333491 and 132226333500.

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, 163443766 + ... + 163444574.

It is an arithmetic number, because the mean of its divisors is an integer number (2564512650).

Almost surely, 2132226333530 is an apocalyptic number.

132226333530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132226333530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164128809600).

132226333530 is an abundant number, since it is smaller than the sum of its proper divisors (196031285670).

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

132226333530 is a wasteful number, since it uses less digits than its factorization.

132226333530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 58320, while the sum is 33.

Adding to 132226333530 its reverse (35333622231), we get a palindrome (167559955761).

The spelling of 132226333530 in words is "one hundred thirty-two billion, two hundred twenty-six million, three hundred thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 229 370 458 555 643 687 809 1110 1145 1286 1374 1618 1929 2290 2427 3215 3435 3858 4045 4854 6430 6870 8090 8473 9645 12135 16946 19290 23791 24270 25419 29933 42365 47582 50838 59866 71373 84730 89799 118955 127095 142746 147247 149665 179598 185261 237910 254190 294494 299330 356865 370522 441741 448995 520187 555783 713730 736235 883482 897990 926305 1040374 1111566 1472470 1560561 1852610 2208705 2600935 2778915 3121122 4417410 5201870 5448139 5557830 6854657 7802805 10896278 13709314 15605610 16344417 19246919 20563971 27240695 32688834 34273285 38493838 41127942 54481390 57740757 68546570 81722085 96234595 102819855 115481514 119122823 163444170 192469190 205639710 238245646 288703785 357368469 577407570 595614115 714736938 1191228230 1786842345 3573684690 4407544451 8815088902 13222633353 22037722255 26445266706 44075444510 66113166765 132226333530