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422121040 = 24511736571
BaseRepresentation
bin11001001010010…
…000111001010000
31002102021222012121
4121022100321100
51331030333130
6105515304024
713313653405
oct3112207120
91072258177
10422121040
111a7304870
12b944b014
13695b8283
14400c22ac
15270d2d7a
hex19290e50

422121040 has 80 divisors (see below), whose sum is σ = 1085484096. Its totient is φ = 151372800.

The previous prime is 422121031. The next prime is 422121041. The reversal of 422121040 is 40121224.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422121041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60955 + ... + 67525.

Almost surely, 2422121040 is an apocalyptic number.

422121040 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 422121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542742048).

422121040 is an abundant number, since it is smaller than the sum of its proper divisors (663363056).

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

422121040 is a wasteful number, since it uses less digits than its factorization.

422121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 422121040 is about 20545.5844404582. The cubic root of 422121040 is about 750.1457731466.

Adding to 422121040 its reverse (40121224), we get a palindrome (462242264).

The spelling of 422121040 in words is "four hundred twenty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 2920 3212 4015 5840 6424 6571 8030 12848 13142 16060 26284 32120 32855 52568 64240 65710 72281 105136 131420 144562 262840 289124 361405 479683 525680 578248 722810 959366 1156496 1445620 1918732 2398415 2891240 3837464 4796830 5276513 5782480 7674928 9593660 10553026 19187320 21106052 26382565 38374640 42212104 52765130 84424208 105530260 211060520 422121040