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202103220 = 2235111392203
BaseRepresentation
bin11000000101111…
…01100110110100
3112002021220111110
430002331212310
5403214300340
632015435020
75002564134
oct1402754664
9462256443
10202103220
11a409a160
1257825a70
1332b42707
141cbacac4
1512b22680
hexc0bd9b4

202103220 has 96 divisors (see below), whose sum is σ = 622056960. Its totient is φ = 48620160.

The previous prime is 202103219. The next prime is 202103221. The reversal of 202103220 is 22301202.

202103220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202103219) and next prime (202103221).

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 = 202103196 and 202103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202103221) 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, 90639 + ... + 92841.

It is an arithmetic number, because the mean of its divisors is an integer number (6479760).

Almost surely, 2202103220 is an apocalyptic number.

202103220 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 202103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311028480).

202103220 is an abundant number, since it is smaller than the sum of its proper divisors (419953740).

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

202103220 is a wasteful number, since it uses less digits than its factorization.

202103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202103220 is about 14216.3012067134. The cubic root of 202103220 is about 586.8463543651.

Adding to 202103220 its reverse (22301202), we get a palindrome (224404422).

The spelling of 202103220 in words is "two hundred two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1668 2085 2203 2780 3058 4170 4406 4587 6116 6609 7645 8340 8812 9174 11015 13218 15290 18348 22030 22935 24233 26436 30580 33045 44060 45870 48466 66090 72699 91740 96932 121165 132180 145398 242330 290796 306217 363495 484660 612434 726990 918651 1224868 1453980 1531085 1837302 3062170 3368387 3674604 4593255 6124340 6736774 9186510 10105161 13473548 16841935 18373020 20210322 33683870 40420644 50525805 67367740 101051610 202103220