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2003400220 = 2254117913649
BaseRepresentation
bin111011101101001…
…0111011000011100
312011121202021110011
41313122113120130
513100332301340
6530443453004
7100434422653
oct16732273034
95147667404
102003400220
1193895a268
1247ab27164
1325c097c23
1415010219a
15bad350ea
hex7769761c

2003400220 has 48 divisors (see below), whose sum is σ = 4334148000. Its totient is φ = 777390080.

The previous prime is 2003400197. The next prime is 2003400221. The reversal of 2003400220 is 220043002.

It is a super-2 number, since 2×20034002202 = 8027224882992096800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003400220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003400221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139956 + ... + 153604.

It is an arithmetic number, because the mean of its divisors is an integer number (90294750).

Almost surely, 22003400220 is an apocalyptic number.

2003400220 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 2003400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167074000).

2003400220 is an abundant number, since it is smaller than the sum of its proper divisors (2330747780).

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

2003400220 is a wasteful number, since it uses less digits than its factorization.

2003400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13878 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2003400220 is about 44759.3590213265. The cubic root of 2003400220 is about 1260.6346471083.

Adding to 2003400220 its reverse (220043002), we get a palindrome (2223443222).

The spelling of 2003400220 in words is "two billion, three million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 179 205 358 410 716 820 895 1790 3580 7339 13649 14678 27298 29356 36695 54596 68245 73390 136490 146780 272980 559609 1119218 2238436 2443171 2798045 4886342 5596090 9772684 11192180 12215855 24431710 48863420 100170011 200340022 400680044 500850055 1001700110 2003400220