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10200212220 = 22351115454867
BaseRepresentation
bin10010111111111101…
…01110001011111100
3222022212111110122210
421133332232023330
5131342223242340
64404053540420
7510525242022
oct113776561374
928285443583
1010200212220
114364832460
121b88044710
13c6731a243
146ca99c712
153ea75a180
hex25ffae2fc

10200212220 has 48 divisors (see below), whose sum is σ = 31157013888. Its totient is φ = 2472778560.

The previous prime is 10200212213. The next prime is 10200212237. The reversal of 10200212220 is 2221200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200212196 and 10200212205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7726774 + ... + 7728093.

It is an arithmetic number, because the mean of its divisors is an integer number (649104456).

Almost surely, 210200212220 is an apocalyptic number.

10200212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200212220 is an abundant number, since it is smaller than the sum of its proper divisors (20956801668).

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

10200212220 is a wasteful number, since it uses less digits than its factorization.

10200212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15454890 (or 15454888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200212220 its reverse (2221200201), we get a palindrome (12421412421).

The spelling of 10200212220 in words is "ten billion, two hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15454867 30909734 46364601 61819468 77274335 92729202 154548670 170003537 185458404 231823005 309097340 340007074 463646010 510010611 680014148 850017685 927292020 1020021222 1700035370 2040042444 2550053055 3400070740 5100106110 10200212220