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2113222440 = 233573767993
BaseRepresentation
bin111110111110101…
…0011011100101000
312110021101211012210
41331331103130220
513311441104230
6545405405120
7103240044240
oct17575233450
95407354183
102113222440
1199494a32a
124ab8697a0
13278a6a3a4
1416092cb20
15c57c9eb0
hex7df53728

2113222440 has 128 divisors (see below), whose sum is σ = 7441263360. Its totient is φ = 469960704.

The previous prime is 2113222399. The next prime is 2113222453. The reversal of 2113222440 is 442223112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2917 + ... + 65076.

It is an arithmetic number, because the mean of its divisors is an integer number (58134870).

Almost surely, 22113222440 is an apocalyptic number.

2113222440 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 2113222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720631680).

2113222440 is an abundant number, since it is smaller than the sum of its proper divisors (5328040920).

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

2113222440 is a wasteful number, since it uses less digits than its factorization.

2113222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68051 (or 68047 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2113222440 is about 45969.7992164421. The cubic root of 2113222440 is about 1283.2612232866.

Adding to 2113222440 its reverse (442223112), we get a palindrome (2555445552).

The spelling of 2113222440 in words is "two billion, one hundred thirteen million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 67993 135986 203979 271972 339965 407958 475951 543944 679930 815916 951902 1019895 1359860 1427853 1631832 1903804 2039790 2379755 2515741 2719720 2855706 3807608 4079580 4759510 5031482 5711412 7139265 7547223 8159160 9519020 10062964 11422824 12578705 14278530 15094446 17610187 19038040 20125928 25157410 28557060 30188892 35220374 37736115 50314820 52830561 57114120 60377784 70440748 75472230 88050935 100629640 105661122 140881496 150944460 176101870 211322244 264152805 301888920 352203740 422644488 528305610 704407480 1056611220 2113222440