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220213213000 = 235311142714029
BaseRepresentation
bin1100110100010110111…
…0101111011101001000
3210001102001000021222221
43031011232233131020
512101444040304000
6245055313223424
721624042266104
oct3150556573510
9701361007887
10220213213000
1185434688310
1236818b61b74
13179c5c29241
14a930828904
155adcca961a
hex3345baf748

220213213000 has 128 divisors (see below), whose sum is σ = 562578307200. Its totient is φ = 80015712000.

The previous prime is 220213212997. The next prime is 220213213013. The reversal of 220213213000 is 312312022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15689986 + ... + 15704014.

It is an arithmetic number, because the mean of its divisors is an integer number (4395143025).

Almost surely, 2220213213000 is an apocalyptic number.

220213213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220213213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281289153600).

220213213000 is an abundant number, since it is smaller than the sum of its proper divisors (342365094200).

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

220213213000 is a wasteful number, since it uses less digits than its factorization.

220213213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220213213000 its reverse (312312022), we get a palindrome (220525525022).

The spelling of 220213213000 in words is "two hundred twenty billion, two hundred thirteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1427 2200 2750 2854 5500 5708 7135 11000 11416 14029 14270 15697 28058 28540 31394 35675 56116 57080 62788 70145 71350 78485 112232 125576 140290 142700 154319 156970 178375 280580 285400 308638 313940 350725 356750 392425 561160 617276 627880 701450 713500 771595 784850 1234552 1402900 1427000 1543190 1569700 1753625 1962125 2805800 3086380 3139400 3507250 3857975 3924250 6172760 7014500 7715950 7848500 14029000 15431900 15697000 19289875 20019383 30863800 38579750 40038766 77159500 80077532 100096915 154319000 160155064 200193830 220213213 400387660 440426426 500484575 800775320 880852852 1000969150 1101066065 1761705704 2001938300 2202132130 2502422875 4003876600 4404264260 5004845750 5505330325 8808528520 10009691500 11010660650 20019383000 22021321300 27526651625 44042642600 55053303250 110106606500 220213213000