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2030253220 = 2251746112953
BaseRepresentation
bin111100100000011…
…0011010010100100
312020111021112211201
41321000303102210
513124221100340
6533243212244
7101211603412
oct17100632244
95214245751
102030253220
11952030326
12487b17084
1326480a688
141538d22b2
15bd38b79a
hex790334a4

2030253220 has 48 divisors (see below), whose sum is σ = 4524469488. Its totient is φ = 762613760.

The previous prime is 2030253163. The next prime is 2030253221. The reversal of 2030253220 is 223520302.

It can be written as a sum of positive squares in 8 ways, for example, as 125978176 + 1904275044 = 11224^2 + 43638^2 .

It is not an unprimeable number, because it can be changed into a prime (2030253221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150264 + ... + 163216.

It is an arithmetic number, because the mean of its divisors is an integer number (94259781).

Almost surely, 22030253220 is an apocalyptic number.

2030253220 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 2030253220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262234744).

2030253220 is an abundant number, since it is smaller than the sum of its proper divisors (2494216268).

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

2030253220 is a wasteful number, since it uses less digits than its factorization.

2030253220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2030253220 is about 45058.3313050983. The cubic root of 2030253220 is about 1266.2420625150.

Adding to 2030253220 its reverse (223520302), we get a palindrome (2253773522).

The spelling of 2030253220 in words is "two billion, thirty million, two hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1844 2305 4610 7837 9220 12953 15674 25906 31348 39185 51812 64765 78370 129530 156740 220201 259060 440402 880804 1101005 2202010 4404020 5971333 11942666 23885332 29856665 59713330 101512661 119426660 203025322 406050644 507563305 1015126610 2030253220