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2422006272 = 29387103
BaseRepresentation
bin1001000001011100…
…1110001000000000
320020210102200000000
42100113032020000
514430013200042
61040200000000
7114006466530
oct22027161000
96223380000
102422006272
111033183184
12577160000
132c7a2230a
1418d94b4c0
15e297174c
hex905ce200

2422006272 has 360 divisors, whose sum is σ = 8376029376. Its totient is φ = 685283328.

The previous prime is 2422006267. The next prime is 2422006291. The reversal of 2422006272 is 2726002242.

It is a super-2 number, since 2×24220062722 = 11732228763214675968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23514573 + ... + 23514675.

Almost surely, 22422006272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188014688).

2422006272 is an abundant number, since it is smaller than the sum of its proper divisors (5954023104).

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

2422006272 is an frugal number, since it uses more digits than its factorization.

2422006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2422006272 is about 49213.8829193552. The cubic root of 2422006272 is about 1342.9456015883.

The spelling of 2422006272 in words is "two billion, four hundred twenty-two million, six thousand, two hundred seventy-two".