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2240978112 = 263237711481
BaseRepresentation
bin1000010110010010…
…1001110011000000
312210011210111001100
42011210221303000
514042142244422
61010211534400
7106350666612
oct20544516300
95704714040
102240978112
11a4aa7902a
125265ba400
1329937b469
141738a6db2
15d1b137ac
hex85929cc0

2240978112 has 168 divisors, whose sum is σ = 6694395552. Its totient is φ = 716083200.

The previous prime is 2240978101. The next prime is 2240978141. The reversal of 2240978112 is 2118790422.

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

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, 1512412 + ... + 1513892.

Almost surely, 22240978112 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 2240978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347197776).

2240978112 is an abundant number, since it is smaller than the sum of its proper divisors (4453417440).

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

2240978112 is a wasteful number, since it uses less digits than its factorization.

2240978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2240978112 is about 47338.9703310074. The cubic root of 2240978112 is about 1308.6169409584.

The spelling of 2240978112 in words is "two billion, two hundred forty million, nine hundred seventy-eight thousand, one hundred twelve".