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3223131030 = 2325716331387
BaseRepresentation
bin1100000000011101…
…0001001110010110
322022121220000120100
43000013101032112
523100110143110
61251454514530
7142605106320
oct30007211626
98277800510
103223131030
111404412059
1275b505a46
133c49aa132
142280ca610
1513ce6bbc0
hexc01d1396

3223131030 has 96 divisors (see below), whose sum is σ = 9636367104. Its totient is φ = 732172608.

The previous prime is 3223130969. The next prime is 3223131047. The reversal of 3223131030 is 301313223.

3223131030 is a `hidden beast` number, since 322 + 3 + 1 + 310 + 30 = 666.

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 = 3223130994 and 3223131012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86997 + ... + 118383.

It is an arithmetic number, because the mean of its divisors is an integer number (100378824).

Almost surely, 23223131030 is an apocalyptic number.

3223131030 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 3223131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818183552).

3223131030 is an abundant number, since it is smaller than the sum of its proper divisors (6413236074).

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

3223131030 is a wasteful number, since it uses less digits than its factorization.

3223131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31570 (or 31567 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3223131030 is about 56772.6257099317. The cubic root of 3223131030 is about 1477.1547218981.

Adding to 3223131030 its reverse (301313223), we get a palindrome (3524444253).

The spelling of 3223131030 in words is "three billion, two hundred twenty-three million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 163 210 315 326 489 630 815 978 1141 1467 1630 2282 2445 2934 3423 4890 5705 6846 7335 10269 11410 14670 17115 20538 31387 34230 51345 62774 94161 102690 156935 188322 219709 282483 313870 439418 470805 564966 659127 941610 1098545 1318254 1412415 1977381 2197090 2824830 3295635 3954762 5116081 6591270 9886905 10232162 15348243 19773810 25580405 30696486 35812567 46044729 51160810 71625134 76741215 92089458 107437701 153482430 179062835 214875402 230223645 322313103 358125670 460447290 537188505 644626206 1074377010 1611565515 3223131030