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220010420 = 225753149199
BaseRepresentation
bin11010001110100…
…01011110110100
3120022222200120002
431013101132310
5422310313140
633455330432
75311025540
oct1507213664
9508880502
10220010420
111032100a3
1261820a18
13367723a6
1421310a20
15144ad415
hexd1d17b4

220010420 has 96 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 73142784.

The previous prime is 220010389. The next prime is 220010423. The reversal of 220010420 is 24010022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105481 + ... + 1105679.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2220010420 is an apocalyptic number.

220010420 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 220010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

220010420 is an abundant number, since it is smaller than the sum of its proper divisors (324309580).

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

220010420 is a wasteful number, since it uses less digits than its factorization.

220010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 220010420 is about 14832.7482281606. The cubic root of 220010420 is about 603.6906043729.

Adding to 220010420 its reverse (24010022), we get a palindrome (244020442).

The spelling of 220010420 in words is "two hundred twenty million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 149 199 212 265 298 371 398 530 596 742 745 796 995 1043 1060 1393 1484 1490 1855 1990 2086 2786 2980 3710 3980 4172 5215 5572 6965 7420 7897 10430 10547 13930 15794 20860 21094 27860 29651 31588 39485 42188 52735 55279 59302 73829 78970 105470 110558 118604 147658 148255 157940 207557 210940 221116 276395 295316 296510 369145 415114 552790 593020 738290 830228 1037785 1105580 1476580 1571503 2075570 3143006 4151140 6286012 7857515 11000521 15715030 22001042 31430060 44002084 55002605 110005210 220010420