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2246424340 = 2251910755249
BaseRepresentation
bin1000010111100101…
…1011011100010100
312210120001011212111
42011321123130110
514100041034330
61010524400404
7106445202046
oct20571333424
95716034774
102246424340
11a53058946
125283a6104
1329a537394
141744c3a96
15d233c32a
hex85e5b714

2246424340 has 48 divisors (see below), whose sum is σ = 5012280000. Its totient is φ = 843305472.

The previous prime is 2246424337. The next prime is 2246424373. The reversal of 2246424340 is 434246422.

2246424340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13036 + ... + 68284.

It is an arithmetic number, because the mean of its divisors is an integer number (104422500).

Almost surely, 22246424340 is an apocalyptic number.

2246424340 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 2246424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140000).

2246424340 is an abundant number, since it is smaller than the sum of its proper divisors (2765855660).

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

2246424340 is a wasteful number, since it uses less digits than its factorization.

2246424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55384 (or 55382 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The square root of 2246424340 is about 47396.4591504471. The cubic root of 2246424340 is about 1309.6761898027.

The spelling of 2246424340 in words is "two billion, two hundred forty-six million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 214 380 428 535 1070 2033 2140 4066 8132 10165 20330 40660 55249 110498 220996 276245 552490 1049731 1104980 2099462 4198924 5248655 5911643 10497310 11823286 20994620 23646572 29558215 59116430 112321217 118232860 224642434 449284868 561606085 1123212170 2246424340