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22221120002004 = 223271163431263799
BaseRepresentation
bin1010000110101110000011…
…11101101101011111010100
32220200022121001121022021200
411003113001331231133110
510403032323210031004
6115132124104112500
74452265032361560
oct503270175553724
986608531538250
1022221120002004
117097a18a35130
1225aa728165730
13c5259a5a6b81
1456b717b3c6a0
1528805053b239
hex1435c1f6d7d4

22221120002004 has 144 divisors (see below), whose sum is σ = 70041292339200. Its totient is φ = 5770804979520.

The previous prime is 22221120001981. The next prime is 22221120002021. The reversal of 22221120002004 is 40020002112222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16950897 + ... + 18214695.

Almost surely, 222221120002004 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 22221120002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020646169600).

22221120002004 is an abundant number, since it is smaller than the sum of its proper divisors (47820172337196).

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

22221120002004 is a wasteful number, since it uses less digits than its factorization.

22221120002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270170 (or 1270165 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22221120002004 its reverse (40020002112222), we get a palindrome (62241122114226).

The spelling of 22221120002004 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, two thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 6343 12686 19029 25372 38058 44401 57087 69773 76116 88802 114174 133203 139546 177604 209319 228348 266406 279092 399609 418638 488411 532812 627957 799218 837276 976822 1255914 1263799 1465233 1598436 1953644 2511828 2527598 2930466 3791397 4395699 5055196 5860932 7582794 8791398 8846593 11374191 13901789 15165588 17582796 17693186 22748382 26539779 27803578 35386372 41705367 45496764 53079558 55607156 79619337 83410734 97312523 106159116 125116101 159238674 166821468 194625046 250232202 291937569 318477348 389250092 500464404 583875138 875812707 1167750276 1751625414 3503250828 8016277057 16032554114 24048831171 32065108228 48097662342 56113939399 72146493513 88179047627 96195324684 112227878798 144292987026 168341818197 176358095254 224455757596 264537142881 288585974052 336683636394 352716190508 505025454591 529074285762 617253333389 673367272788 793611428643 1010050909182 1058148571524 1234506666778 1587222857286 1851760000167 2020101818364 2469013333556 3174445714572 3703520000334 5555280000501 7407040000668 11110560001002 22221120002004