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2248150080 = 263511434951
BaseRepresentation
bin1000011000000000…
…0000110001000000
312210200021212010210
42012000000301000
514101011300310
61011025354120
7106465650261
oct20600006100
95720255123
102248150080
11a54027480
12528a98940
1329a9bca27
14174812968
15d257d820
hex86000c40

2248150080 has 224 divisors, whose sum is σ = 7969471488. Its totient is φ = 532224000.

The previous prime is 2248150049. The next prime is 2248150087. The reversal of 2248150080 is 800518422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2248150087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451605 + ... + 456555.

Almost surely, 22248150080 is an apocalyptic number.

2248150080 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 2248150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984735744).

2248150080 is an abundant number, since it is smaller than the sum of its proper divisors (5721321408).

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

2248150080 is a wasteful number, since it uses less digits than its factorization.

2248150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2248150080 is about 47414.6610237804. The cubic root of 2248150080 is about 1310.0114755322.

The spelling of 2248150080 in words is "two billion, two hundred forty-eight million, one hundred fifty thousand, eighty".