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10031220 = 22325232423
BaseRepresentation
bin100110010001…
…000001110100
3200212122020200
4212101001310
510031444340
6555000500
7151156353
oct46210164
920778220
1010031220
115731671
123439130
132102b44
14149199a
15d32330
hex991074

10031220 has 72 divisors (see below), whose sum is σ = 31764096. Its totient is φ = 2557632.

The previous prime is 10031191. The next prime is 10031227. The reversal of 10031220 is 2213001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929 + ... + 5351.

It is an arithmetic number, because the mean of its divisors is an integer number (441168).

Almost surely, 210031220 is an apocalyptic number.

10031220 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 10031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882048).

10031220 is an abundant number, since it is smaller than the sum of its proper divisors (21732876).

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

10031220 is a wasteful number, since it uses less digits than its factorization.

10031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10031220 is about 3167.2101288042. The cubic root of 10031220 is about 215.6674409213.

Adding to 10031220 its reverse (2213001), we get a palindrome (12244221).

The spelling of 10031220 in words is "ten million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2423 4140 4846 7269 9692 12115 14538 21807 24230 29076 36345 43614 48460 55729 72690 87228 109035 111458 145380 167187 218070 222916 278645 334374 436140 501561 557290 668748 835935 1003122 1114580 1671870 2006244 2507805 3343740 5015610 10031220