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32201223030 = 23351731226307
BaseRepresentation
bin11101111111010101…
…111010101101110110
310002010011021121201000
4131333111322231312
51011422003114110
622443143544130
72216655610464
oct357725725566
9102104247630
1032201223030
1112724829519
1262a815b046
133062434332
1417b6923834
15c86ed81c0
hex77f57ab76

32201223030 has 128 divisors (see below), whose sum is σ = 93854453760. Its totient is φ = 7821135360.

The previous prime is 32201223017. The next prime is 32201223031. The reversal of 32201223030 is 3032210223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32201222994 and 32201223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32201223031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29137 + ... + 255443.

It is an arithmetic number, because the mean of its divisors is an integer number (733237920).

Almost surely, 232201223030 is an apocalyptic number.

32201223030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32201223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46927226880).

32201223030 is an abundant number, since it is smaller than the sum of its proper divisors (61653230730).

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

32201223030 is a wasteful number, since it uses less digits than its factorization.

32201223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226371 (or 226365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32201223030 its reverse (3032210223), we get a palindrome (35233433253).

The spelling of 32201223030 in words is "thirty-two billion, two hundred one million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 85 90 93 102 135 153 155 170 186 255 270 279 306 310 459 465 510 527 558 765 837 918 930 1054 1395 1530 1581 1674 2295 2635 2790 3162 4185 4590 4743 5270 7905 8370 9486 14229 15810 23715 28458 47430 71145 142290 226307 452614 678921 1131535 1357842 2036763 2263070 3394605 3847219 4073526 6110289 6789210 7015517 7694438 10183815 11541657 12220578 14031034 19236095 20367630 21046551 23083314 30551445 34624971 35077585 38472190 42093102 57708285 61102890 63139653 69249942 70155170 103874913 105232755 115416570 119263789 126279306 173124855 189418959 207749826 210465510 238527578 315698265 346249710 357791367 378837918 519374565 596318945 631396530 715582734 947094795 1038749130 1073374101 1192637890 1788956835 1894189590 2146748202 3220122303 3577913670 5366870505 6440244606 10733741010 16100611515 32201223030