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2240012412 = 22321117223237
BaseRepresentation
bin1000010110000011…
…1110000001111100
312210002222102100200
42011200332001330
514041420344122
61010135123500
7106336535301
oct20540760174
95702872320
102240012412
11a4a479530
12526213590
13299100a41
141736d50a8
15d19c25ac
hex8583e07c

2240012412 has 324 divisors, whose sum is σ = 7044817416. Its totient is φ = 594570240.

The previous prime is 2240012399. The next prime is 2240012413. The reversal of 2240012412 is 2142100422.

2240012412 is a `hidden beast` number, since 2 + 240 + 0 + 12 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240012413) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60540858 + ... + 60540894.

Almost surely, 22240012412 is an apocalyptic number.

2240012412 is a gapful number since it is divisible by the number (22) 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 2240012412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522408708).

2240012412 is an abundant number, since it is smaller than the sum of its proper divisors (4804805004).

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

2240012412 is a wasteful number, since it uses less digits than its factorization.

2240012412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240012412 is about 47328.7693902979. The cubic root of 2240012412 is about 1308.4289407659.

Adding to 2240012412 its reverse (2142100422), we get a palindrome (4382112834).

The spelling of 2240012412 in words is "two billion, two hundred forty million, twelve thousand, four hundred twelve".