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2254487040 = 29335132193
BaseRepresentation
bin1000011001100000…
…1011111000000000
312211010012210211000
42012120023320000
514104122041130
61011413252000
7106603552341
oct20630137000
95733183730
102254487040
11a57665533
1252b034000
1329c0cb200
141755c20c8
15d2dd1260
hex8660be00

2254487040 has 480 divisors, whose sum is σ = 8716451040. Its totient is φ = 552075264.

The previous prime is 2254487029. The next prime is 2254487077. The reversal of 2254487040 is 407844522.

2254487040 is a `hidden beast` number, since 2 + 2 + 544 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2254486986 and 2254487004.

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 47 ways as a sum of consecutive naturals, for example, 11681184 + ... + 11681376.

It is an arithmetic number, because the mean of its divisors is an integer number (18159273).

Almost surely, 22254487040 is an apocalyptic number.

2254487040 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 2254487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358225520).

2254487040 is an abundant number, since it is smaller than the sum of its proper divisors (6461964000).

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

2254487040 is a wasteful number, since it uses less digits than its factorization.

2254487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2254487040 is about 47481.4388998480. The cubic root of 2254487040 is about 1311.2411832609.

The spelling of 2254487040 in words is "two billion, two hundred fifty-four million, four hundred eighty-seven thousand, forty".