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422054000 = 2453415147
BaseRepresentation
bin11001001010000…
…000100001110000
31002102011120020122
4121022000201300
51331021212000
6105514025412
713313254064
oct3112004160
91072146218
10422054000
111a7269465
12b9418268
13695938c4
14400a5aa4
15270bd085
hex19280870

422054000 has 80 divisors (see below), whose sum is σ = 1045620576. Its totient is φ = 164672000.

The previous prime is 422053991. The next prime is 422054027. The reversal of 422054000 is 450224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 422054000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79427 + ... + 84573.

Almost surely, 2422054000 is an apocalyptic number.

422054000 is a gapful number since it is divisible by the number (40) 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 422054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522810288).

422054000 is an abundant number, since it is smaller than the sum of its proper divisors (623566576).

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

422054000 is a wasteful number, since it uses less digits than its factorization.

422054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 422054000 is about 20543.9528815659. The cubic root of 422054000 is about 750.1060590753.

The spelling of 422054000 in words is "four hundred twenty-two million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 5147 8200 10250 10294 16400 20500 20588 25735 41000 41176 51470 82000 82352 102940 128675 205880 211027 257350 411760 422054 514700 643375 844108 1029400 1055135 1286750 1688216 2058800 2110270 2573500 3376432 4220540 5147000 5275675 8441080 10294000 10551350 16882160 21102700 26378375 42205400 52756750 84410800 105513500 211027000 422054000