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2253203300 = 225267973467
BaseRepresentation
bin1000011001001101…
…0010011101100100
312211000210120212002
42012103102131210
514103310001200
61011325544432
7106556624555
oct20623223544
95730716762
102253203300
11a56968a97
1252a715118
1329ba6baba
1417536a32c
15d2c2abd5
hex864d2764

2253203300 has 72 divisors (see below), whose sum is σ = 5015033184. Its totient is φ = 878423040.

The previous prime is 2253203291. The next prime is 2253203347. The reversal of 2253203300 is 33023522.

It is a super-2 number, since 2×22532033002 = 10153850222261780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648167 + ... + 651633.

Almost surely, 22253203300 is an apocalyptic number.

2253203300 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 2253203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507516592).

2253203300 is an abundant number, since it is smaller than the sum of its proper divisors (2761829884).

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

2253203300 is a wasteful number, since it uses less digits than its factorization.

2253203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 2253203300 is about 47467.9186398561. The cubic root of 2253203300 is about 1310.9922556296.

Adding to 2253203300 its reverse (33023522), we get a palindrome (2286226822).

The spelling of 2253203300 in words is "two billion, two hundred fifty-three million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 97 100 134 194 268 335 388 485 670 970 1340 1675 1940 2425 3350 3467 4850 6499 6700 6934 9700 12998 13868 17335 25996 32495 34670 64990 69340 86675 129980 162475 173350 232289 324950 336299 346700 464578 649900 672598 929156 1161445 1345196 1681495 2322890 3362990 4645780 5807225 6725980 8407475 11614450 16814950 22532033 23228900 33629900 45064066 90128132 112660165 225320330 450640660 563300825 1126601650 2253203300