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2240553700 = 22527114367101
BaseRepresentation
bin1000010110001100…
…0010001011100100
312210010222220212101
42011203002023210
514042040204300
61010154501444
7106344251350
oct20543021344
95703886771
102240553700
11a4a809180
12526434884
13299260228
141737d6460
15d1a7cb6a
hex858c22e4

2240553700 has 288 divisors, whose sum is σ = 6357593088. Its totient is φ = 665280000.

The previous prime is 2240553697. The next prime is 2240553719. The reversal of 2240553700 is 73550422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22183650 + ... + 22183750.

It is an arithmetic number, because the mean of its divisors is an integer number (22074976).

Almost surely, 22240553700 is an apocalyptic number.

2240553700 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 2240553700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178796544).

2240553700 is an abundant number, since it is smaller than the sum of its proper divisors (4117039388).

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

2240553700 is a wasteful number, since it uses less digits than its factorization.

2240553700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 2240553700 is about 47334.4874272448. The cubic root of 2240553700 is about 1308.5343240875.

The spelling of 2240553700 in words is "two billion, two hundred forty million, five hundred fifty-three thousand, seven hundred".