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2248005090 = 23574933503
BaseRepresentation
bin1000010111111101…
…1101010111100010
312210200000111020210
42011333131113202
514100442130330
61011022314550
7106464504462
oct20577352742
95720014223
102248005090
11a53a38551
12528a28a56
1329a96ba36
141747b5ba2
15d25508b0
hex85fdd5e2

2248005090 has 16 divisors (see below), whose sum is σ = 5395212288. Its totient is φ = 599468016.

The previous prime is 2248005061. The next prime is 2248005091. The reversal of 2248005090 is 905008422.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 74933503 = 2248005090 / (2 + 2 + 4 + 8 + 0 + 0 + 5 + 0 + 9 + 0).

It is not an unprimeable number, because it can be changed into a prime (2248005091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37466722 + ... + 37466781.

It is an arithmetic number, because the mean of its divisors is an integer number (337200768).

Almost surely, 22248005090 is an apocalyptic number.

2248005090 is an abundant number, since it is smaller than the sum of its proper divisors (3147207198).

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

2248005090 is a wasteful number, since it uses less digits than its factorization.

2248005090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74933513.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2248005090 is about 47413.1320416612. The cubic root of 2248005090 is about 1309.9833127257.

The spelling of 2248005090 in words is "two billion, two hundred forty-eight million, five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 74933503 149867006 224800509 374667515 449601018 749335030 1124002545 2248005090