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2250378648 = 233274465037
BaseRepresentation
bin1000011000100010…
…0000110110011000
312210211111002011100
42012020200312120
514102044104043
61011145231400
7106523621460
oct20610406630
95724432140
102250378648
11a55309871
12529792560
1329b2c01cb
14174c32ba0
15d286dcd3
hex86220d98

2250378648 has 48 divisors (see below), whose sum is σ = 6965459280. Its totient is φ = 642965184.

The previous prime is 2250378631. The next prime is 2250378661. The reversal of 2250378648 is 8468730522.

2250378648 is a `hidden beast` number, since 22 + 503 + 7 + 86 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2232015 + ... + 2233022.

It is an arithmetic number, because the mean of its divisors is an integer number (145113735).

Almost surely, 22250378648 is an apocalyptic number.

2250378648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2250378648 is an abundant number, since it is smaller than the sum of its proper divisors (4715080632).

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

2250378648 is a wasteful number, since it uses less digits than its factorization.

2250378648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465056 (or 4465049 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2250378648 is about 47438.1560349894. The cubic root of 2250378648 is about 1310.4441995360. Note that the first 3 decimals are identical.

The spelling of 2250378648 in words is "two billion, two hundred fifty million, three hundred seventy-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4465037 8930074 13395111 17860148 26790222 31255259 35720296 40185333 53580444 62510518 80370666 93765777 107160888 125021036 160741332 187531554 250042072 281297331 321482664 375063108 562594662 750126216 1125189324 2250378648