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2256297500 = 22541947501
BaseRepresentation
bin1000011001111100…
…0101111000011100
312211020121210022002
42012133011320130
514110103010000
61011520141432
7106625132552
oct20637057034
95736553262
102256297500
11a58691786
1252b767878
1329c5b32a2
14175933bd2
15d313c8d5
hex867c5e1c

2256297500 has 60 divisors (see below), whose sum is σ = 5193868680. Its totient is φ = 855000000.

The previous prime is 2256297497. The next prime is 2256297553. The reversal of 2256297500 is 57926522.

2256297500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23750 + ... + 71250.

It is an arithmetic number, because the mean of its divisors is an integer number (86564478).

Almost surely, 22256297500 is an apocalyptic number.

2256297500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 47500×47501.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256297500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596934340).

2256297500 is an abundant number, since it is smaller than the sum of its proper divisors (2937571180).

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

2256297500 is a wasteful number, since it uses less digits than its factorization.

2256297500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47544 (or 47527 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 2256297500 is about 47500.4999973684. The cubic root of 2256297500 is about 1311.5920856301.

The spelling of 2256297500 in words is "two billion, two hundred fifty-six million, two hundred ninety-seven thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 625 950 1250 1900 2375 2500 4750 9500 11875 23750 47500 47501 95002 190004 237505 475010 902519 950020 1187525 1805038 2375050 3610076 4512595 4750100 5937625 9025190 11875250 18050380 22562975 23750500 29688125 45125950 59376250 90251900 112814875 118752500 225629750 451259500 564074375 1128148750 2256297500