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2135422008 = 233319836269
BaseRepresentation
bin111111101000111…
…1111010000111000
312111211011200022000
41333101333100320
513333132001013
6551521301000
7103626534066
oct17721772070
95454150260
102135422008
119a6432185
124b7194760
13280540a25
1416386b036
15c7712973
hex7f47f438

2135422008 has 128 divisors (see below), whose sum is σ = 6320160000. Its totient is φ = 666112896.

The previous prime is 2135421991. The next prime is 2135422013. The reversal of 2135422008 is 8002245312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 337498 + ... + 343766.

It is an arithmetic number, because the mean of its divisors is an integer number (49376250).

Almost surely, 22135422008 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 2135422008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080000).

2135422008 is an abundant number, since it is smaller than the sum of its proper divisors (4184737992).

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

2135422008 is a wasteful number, since it uses less digits than its factorization.

2135422008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2135422008 is about 46210.6265700867. The cubic root of 2135422008 is about 1287.7391660263.

The spelling of 2135422008 in words is "two billion, one hundred thirty-five million, four hundred twenty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 83 108 114 152 166 171 216 228 249 332 342 456 498 513 664 684 747 996 1026 1368 1494 1577 1992 2052 2241 2988 3154 4104 4482 4731 5976 6269 6308 8964 9462 12538 12616 14193 17928 18807 18924 25076 28386 37614 37848 42579 50152 56421 56772 75228 85158 112842 113544 119111 150456 169263 170316 225684 238222 338526 340632 357333 451368 476444 520327 677052 714666 952888 1040654 1071999 1354104 1429332 1560981 2081308 2143998 2858664 3121962 3215997 4162616 4287996 4682943 6243924 6431994 8575992 9365886 9886213 12487848 12863988 14048829 18731772 19772426 25727976 28097658 29658639 37463544 39544852 56195316 59317278 79089704 88975917 112390632 118634556 177951834 237269112 266927751 355903668 533855502 711807336 1067711004 2135422008