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10214220 = 22353743107
BaseRepresentation
bin100110111101…
…101101001100
3201012221021110
4212331231030
510103323340
61002532020
7152551032
oct46755514
921187243
1010214220
115847105
123507010
132168223
1414dc552
15d6b680
hex9bdb4c

10214220 has 96 divisors (see below), whose sum is σ = 30336768. Its totient is φ = 2564352.

The previous prime is 10214209. The next prime is 10214249. The reversal of 10214220 is 2241201.

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 = 10214196 and 10214205.

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, 95407 + ... + 95513.

It is an arithmetic number, because the mean of its divisors is an integer number (316008).

Almost surely, 210214220 is an apocalyptic number.

10214220 is a gapful number since it is divisible by the number (10) 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 10214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

10214220 is an abundant number, since it is smaller than the sum of its proper divisors (20122548).

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

10214220 is a wasteful number, since it uses less digits than its factorization.

10214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

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

The square root of 10214220 is about 3195.9693365237. The cubic root of 10214220 is about 216.9710226266.

Adding to 10214220 its reverse (2241201), we get a palindrome (12455421).

The spelling of 10214220 in words is "ten million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 107 111 129 148 172 185 214 215 222 258 321 370 428 430 444 516 535 555 642 645 740 860 1070 1110 1284 1290 1591 1605 2140 2220 2580 3182 3210 3959 4601 4773 6364 6420 7918 7955 9202 9546 11877 13803 15836 15910 18404 19092 19795 23005 23754 23865 27606 31820 39590 46010 47508 47730 55212 59385 69015 79180 92020 95460 118770 138030 170237 237540 276060 340474 510711 680948 851185 1021422 1702370 2042844 2553555 3404740 5107110 10214220