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2214250220 = 22574133547
BaseRepresentation
bin1000001111111010…
…1100011011101100
312201022111120021102
42003332230123230
514013322001340
61003415022232
7105604550000
oct20376543354
95638446242
102214250220
11a36982a66
1251966a978
13293980940
1417010a700
15ce5d4215
hex83fac6ec

2214250220 has 120 divisors (see below), whose sum is σ = 5843513424. Its totient is φ = 700576128.

The previous prime is 2214250211. The next prime is 2214250231. The reversal of 2214250220 is 220524122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2214250192 and 2214250201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 622487 + ... + 626033.

Almost surely, 22214250220 is an apocalyptic number.

2214250220 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 2214250220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921756712).

2214250220 is an abundant number, since it is smaller than the sum of its proper divisors (3629263204).

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

2214250220 is a wasteful number, since it uses less digits than its factorization.

2214250220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2214250220 is about 47055.8202563721. The cubic root of 2214250220 is about 1303.3935439784.

Adding to 2214250220 its reverse (220524122), we get a palindrome (2434774342).

The spelling of 2214250220 in words is "two billion, two hundred fourteen million, two hundred fifty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 343 364 455 490 637 686 910 980 1274 1372 1715 1820 2401 2548 3185 3430 3547 4459 4802 6370 6860 7094 8918 9604 12005 12740 14188 17735 17836 22295 24010 24829 31213 35470 44590 46111 48020 49658 62426 70940 89180 92222 99316 124145 124852 156065 173803 184444 230555 248290 312130 322777 347606 461110 496580 624260 645554 695212 869015 922220 1216621 1291108 1613885 1738030 2259439 2433242 3227770 3476060 4518878 4866484 6083105 6455540 8516347 9037756 11297195 12166210 15816073 17032694 22594390 24332420 31632146 34065388 42581735 45188780 63264292 79080365 85163470 110712511 158160730 170326940 221425022 316321460 442850044 553562555 1107125110 2214250220