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4422114240 = 26354606369
BaseRepresentation
bin1000001111001010…
…00001101111000000
3102102011222200022220
410013211001233000
533024030123430
62010445131040
7214404231225
oct40745015700
912364880286
104422114240
11196a193975
12a34b59a80
1355620685b
142dd43394c
151ad356110
hex107941bc0

4422114240 has 56 divisors (see below), whose sum is σ = 14040215760. Its totient is φ = 1179230208.

The previous prime is 4422114233. The next prime is 4422114247. The reversal of 4422114240 is 424112244.

It is an interprime number because it is at equal distance from previous prime (4422114233) and next prime (4422114247).

It is a super-2 number, since 2×44221142402 = 39110188703221555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4422114240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422114247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2302225 + ... + 2304144.

Almost surely, 24422114240 is an apocalyptic number.

4422114240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422114240 is an abundant number, since it is smaller than the sum of its proper divisors (9618101520).

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

4422114240 is a wasteful number, since it uses less digits than its factorization.

4422114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606389 (or 4606379 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4422114240 is about 66498.9792402861. The cubic root of 4422114240 is about 1641.3832074287.

Adding to 4422114240 its reverse (424112244), we get a palindrome (4846226484).

The spelling of 4422114240 in words is "four billion, four hundred twenty-two million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4606369 9212738 13819107 18425476 23031845 27638214 36850952 46063690 55276428 69095535 73701904 92127380 110552856 138191070 147403808 184254760 221105712 276382140 294807616 368509520 442211424 552764280 737019040 884422848 1105528560 1474038080 2211057120 4422114240