Search a number
-
+
32213131230 = 2357682722469
BaseRepresentation
bin11110000000000011…
…010101111111011110
310002010222200121200110
4132000003111333132
51011433030144410
622444251110450
72220162045330
oct360003257736
9102128617613
1032213131230
1112730522305
1262b0142426
133064a435c7
1417b8343450
15c8808b720
hex7800d5fde

32213131230 has 64 divisors (see below), whose sum is σ = 88372892160. Its totient is φ = 7361595264.

The previous prime is 32213131217. The next prime is 32213131231. The reversal of 32213131230 is 3213131223.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32213131197 and 32213131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422436 + ... + 1444904.

It is an arithmetic number, because the mean of its divisors is an integer number (1380826440).

Almost surely, 232213131230 is an apocalyptic number.

32213131230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32213131230 is an abundant number, since it is smaller than the sum of its proper divisors (56159760930).

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

32213131230 is a wasteful number, since it uses less digits than its factorization.

32213131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29313.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32213131230 its reverse (3213131223), we get a palindrome (35426262453).

The spelling of 32213131230 in words is "thirty-two billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6827 13654 20481 22469 34135 40962 44938 47789 67407 68270 95578 102405 112345 134814 143367 157283 204810 224690 238945 286734 314566 337035 471849 477890 674070 716835 786415 943698 1433670 1572830 2359245 4718490 153395863 306791726 460187589 766979315 920375178 1073771041 1533958630 2147542082 2300937945 3221313123 4601875890 5368855205 6442626246 10737710410 16106565615 32213131230