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2248952832 = 21032771491
BaseRepresentation
bin1000011000001100…
…0100110000000000
312210201210122022100
42012003010300000
514101212442312
61011054510400
7106505532540
oct20603046000
95721718270
102248952832
11a54525605
12529205400
1329ac11229
14174981320
15d268b5dc
hex860c4c00

2248952832 has 264 divisors, whose sum is σ = 7541344512. Its totient is φ = 632217600.

The previous prime is 2248952821. The next prime is 2248952873. The reversal of 2248952832 is 2382598422.

It is a super-3 number, since 3×22489528323 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4580107 + ... + 4580597.

Almost surely, 22248952832 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 2248952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770672256).

2248952832 is an abundant number, since it is smaller than the sum of its proper divisors (5292391680).

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

2248952832 is a wasteful number, since it uses less digits than its factorization.

2248952832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 574 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2248952832 is about 47423.1254980099. The cubic root of 2248952832 is about 1310.1673798909.

The spelling of 2248952832 in words is "two billion, two hundred forty-eight million, nine hundred fifty-two thousand, eight hundred thirty-two".