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2240501300 = 2252232513881
BaseRepresentation
bin1000010110001011…
…0101011000110100
312210010220020222122
42011202311120310
514042032020200
61010153415112
7106343642522
oct20542653064
95703806878
102240501300
11a4a782874
1252640a498
1329924241b
141737c1312
15d1a6c385
hex858b5634

2240501300 has 72 divisors (see below), whose sum is σ = 5094798912. Its totient is φ = 853600000.

The previous prime is 2240501297. The next prime is 2240501303. The reversal of 2240501300 is 31050422.

It is an interprime number because it is at equal distance from previous prime (2240501297) and next prime (2240501303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240501303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575360 + ... + 579240.

It is an arithmetic number, because the mean of its divisors is an integer number (70761096).

Almost surely, 22240501300 is an apocalyptic number.

2240501300 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 2240501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547399456).

2240501300 is an abundant number, since it is smaller than the sum of its proper divisors (2854297612).

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

2240501300 is a wasteful number, since it uses less digits than its factorization.

2240501300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2240501300 is about 47333.9339163776. The cubic root of 2240501300 is about 1308.5241230773.

Adding to 2240501300 its reverse (31050422), we get a palindrome (2271551722).

The spelling of 2240501300 in words is "two billion, two hundred forty million, five hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 251 460 502 575 1004 1150 1255 2300 2510 3881 5020 5773 6275 7762 11546 12550 15524 19405 23092 25100 28865 38810 57730 77620 89263 97025 115460 144325 178526 194050 288650 357052 388100 446315 577300 892630 974131 1785260 1948262 2231575 3896524 4463150 4870655 8926300 9741310 19482620 22405013 24353275 44810026 48706550 89620052 97413100 112025065 224050130 448100260 560125325 1120250650 2240501300