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2004722136 = 233423314339
BaseRepresentation
bin111011101111101…
…1010000111011000
312011201020102210000
41313133122013120
513101202102021
6530532053000
7100451566644
oct16737320730
95151212700
102004722136
1193968245a
1247b464160
1325c43b821
14150367c24
15baee6b26
hex777da1d8

2004722136 has 160 divisors (see below), whose sum is σ = 6049612800. Its totient is φ = 618425280.

The previous prime is 2004722099. The next prime is 2004722149. The reversal of 2004722136 is 6312274002.

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 39 ways as a sum of consecutive naturals, for example, 459855 + ... + 464193.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 22004722136 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 2004722136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024806400).

2004722136 is an abundant number, since it is smaller than the sum of its proper divisors (4044890664).

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

2004722136 is a wasteful number, since it uses less digits than its factorization.

2004722136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2004722136 is about 44774.1235090091. The cubic root of 2004722136 is about 1260.9118569404.

Adding to 2004722136 its reverse (6312274002), we get a palindrome (8316996138).

The spelling of 2004722136 in words is "two billion, four million, seven hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 81 92 93 108 124 138 162 184 186 207 216 248 276 279 324 372 414 552 558 621 648 713 744 828 837 1116 1242 1426 1656 1674 1863 2139 2232 2484 2511 2852 3348 3726 4278 4339 4968 5022 5704 6417 6696 7452 8556 8678 10044 12834 13017 14904 17112 17356 19251 20088 25668 26034 34712 38502 39051 51336 52068 57753 77004 78102 99797 104136 115506 117153 134509 154008 156204 199594 231012 234306 269018 299391 312408 351459 399188 403527 462024 468612 538036 598782 702918 798376 807054 898173 937224 1076072 1197564 1210581 1405836 1614108 1796346 2395128 2421162 2694519 2811672 3093707 3228216 3592692 3631743 4842324 5389038 6187414 7185384 7263486 8083557 9281121 9684648 10778076 10895229 12374828 14526972 16167114 18562242 21556152 21790458 24749656 27843363 29053944 32334228 37124484 43580916 55686726 64668456 74248968 83530089 87161832 111373452 167060178 222746904 250590267 334120356 501180534 668240712 1002361068 2004722136