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22000404000400 = 2452723633332471
BaseRepresentation
bin1010000000010010111100…
…10000111110111010010000
32212220012212222111200222121
411000021132100332322100
510340423311411003100
6114442502430144024
74430322343332460
oct500113620767220
985805788450877
1022000404000400
117012356566351
1225739aa952014
13c3782445a4a7
14560b7a633ba0
1528243356751a
hex14025e43ee90

22000404000400 has 120 divisors (see below), whose sum is σ = 60409561290624. Its totient is φ = 7542653798400.

The previous prime is 22000404000391. The next prime is 22000404000401. The reversal of 22000404000400 is 400040400022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22000404000401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66006165 + ... + 66338635.

Almost surely, 222000404000400 is an apocalyptic number.

22000404000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000404000400 is an abundant number, since it is smaller than the sum of its proper divisors (38409157290224).

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

22000404000400 is a wasteful number, since it uses less digits than its factorization.

22000404000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356129 (or 356118 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22000404000400 its reverse (400040400022), we get a palindrome (22400444400422).

The spelling of 22000404000400 in words is "twenty-two trillion, four hundred four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 23633 47266 94532 118165 165431 189064 236330 330862 332471 378128 472660 590825 661724 664942 827155 945320 1181650 1323448 1329884 1654310 1662355 1890640 2327297 2363300 2646896 2659768 3308620 3324710 4135775 4654594 4726600 5319536 6617240 6649420 8271550 8311775 9309188 9453200 11636485 13234480 13298840 16543100 16623550 18618376 23272970 26597680 33086200 33247100 37236752 46545940 58182425 66172400 66494200 93091880 116364850 132988400 186183760 232729700 465459400 930918800 7857287143 15714574286 31429148572 39286435715 55001010001 62858297144 78572871430 110002020002 125716594288 157145742860 196432178575 220004040004 275005050005 314291485720 392864357150 440008080008 550010100010 628582971440 785728714300 880016160016 1100020200020 1375025250025 1571457428600 2200040400040 2750050500050 3142914857200 4400080800080 5500101000100 11000202000200 22000404000400