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4472202240 = 2103351117173
BaseRepresentation
bin1000010101001000…
…00110010000000000
3102112200020102011000
410022210012100000
533124340432430
62015434452000
7215553043332
oct41244062000
912480212130
104472202240
111995494810
12a49894000
135636c301c
14305d51452
151b294be60
hex10a906400

4472202240 has 704 divisors, whose sum is σ = 18464267520. Its totient is φ = 1014497280.

The previous prime is 4472202239. The next prime is 4472202253. The reversal of 4472202240 is 422022744.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×44722022402 = 40001185750922035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25850794 + ... + 25850966.

Almost surely, 24472202240 is an apocalyptic number.

4472202240 is a gapful number since it is divisible by the number (40) 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 4472202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232133760).

4472202240 is an abundant number, since it is smaller than the sum of its proper divisors (13992065280).

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

4472202240 is a wasteful number, since it uses less digits than its factorization.

4472202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 4472202240 is about 66874.5260917788. The cubic root of 4472202240 is about 1647.5571122695.

Adding to 4472202240 its reverse (422022744), we get a palindrome (4894224984).

The spelling of 4472202240 in words is "four billion, four hundred seventy-two million, two hundred two thousand, two hundred forty".