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220214444010 = 2351137122314747
BaseRepresentation
bin1100110100010111001…
…1011011111111101010
3210001102010022211121220
43031011303123333222
512101444344202020
6245055355442510
721624055614051
oct3150563337752
9701363284556
10220214444010
1185435349180
1236819456436
13179c626a652
14a930a69398
155adce4e240
hex3345cdbfea

220214444010 has 128 divisors (see below), whose sum is σ = 592668555264. Its totient is φ = 51896482560.

The previous prime is 220214444003. The next prime is 220214444011. The reversal of 220214444010 is 10444412022.

220214444010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220214444011) 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, 14925457 + ... + 14940203.

It is an arithmetic number, because the mean of its divisors is an integer number (4630223088).

Almost surely, 2220214444010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220214444010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296334277632).

220214444010 is an abundant number, since it is smaller than the sum of its proper divisors (372454111254).

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

220214444010 is a wasteful number, since it uses less digits than its factorization.

220214444010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 220214444010 its reverse (10444412022), we get a palindrome (230658856032).

The spelling of 220214444010 in words is "two hundred twenty billion, two hundred fourteen million, four hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 1223 2035 2442 2446 3669 4070 6105 6115 7338 12210 12230 13453 14747 18345 26906 29494 36690 40359 44241 45251 67265 73735 80718 88482 90502 134530 135753 147470 162217 201795 221205 226255 271506 324434 403590 442410 452510 486651 497761 545639 678765 811085 973302 995522 1091278 1357530 1493283 1622170 1636917 2433255 2488805 2728195 2986566 3273834 4866510 4977610 5456390 6002029 7466415 8184585 12004058 14932830 16369170 18006087 18035581 30010145 36012174 36071162 54106743 60020290 90030435 90177905 108213486 180060870 180355810 198391391 270533715 396782782 541067430 595174173 667316497 991956955 1190348346 1334632994 1983913910 2001949491 2975870865 3336582485 4003898982 5951741730 6673164970 7340481467 10009747455 14680962934 20019494910 22021444401 36702407335 44042888802 73404814670 110107222005 220214444010