Search a number
-
+
422443191808 = 2911223296473
BaseRepresentation
bin1100010010110111001…
…00111000111000000000
31111101101210101122100001
412021123210320320000
523410130424114213
6522022343405344
742343351612051
oct6113344707000
91441353348301
10422443191808
11153180194600
1269a57453854
1330ab42451b1
1416636b4c728
15aec6dbd1dd
hex625b938e00

422443191808 has 120 divisors (see below), whose sum is σ = 968110943184. Its totient is φ = 183670333440.

The previous prime is 422443191697. The next prime is 422443191809. The reversal of 422443191808 is 808191344224.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422443191809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276660 + ... + 1573132.

Almost surely, 2422443191808 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 422443191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484055471592).

422443191808 is an abundant number, since it is smaller than the sum of its proper divisors (545667751376).

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

422443191808 is a wasteful number, since it uses less digits than its factorization.

422443191808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296536 (or 296509 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 422443191808 in words is "four hundred twenty-two billion, four hundred forty-three million, one hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 256 352 368 484 506 512 704 736 968 1012 1408 1472 1936 2024 2783 2816 2944 3872 4048 5566 5632 5888 7744 8096 11132 11776 15488 16192 22264 30976 32384 44528 61952 64768 89056 129536 178112 296473 356224 592946 712448 1185892 1424896 2371784 3261203 4743568 6522406 6818879 9487136 13044812 13637758 18974272 26089624 27275516 35873233 37948544 52179248 54551032 71746466 75007669 75897088 104358496 109102064 143492932 150015338 151794176 208716992 218204128 286985864 300030676 417433984 436408256 573971728 600061352 825084359 834867968 872816512 1147943456 1200122704 1650168718 1669735936 1745633024 2295886912 2400245408 3300337436 3491266048 4591773824 4800490816 6600674872 9183547648 9600981632 13201349744 18367095296 19201963264 26402699488 38403926528 52805398976 105610797952 211221595904 422443191808