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422445100 = 225271183661
BaseRepresentation
bin11001001011100…
…000000000101100
31002102220102201211
4121023200000230
51331121220400
6105530244204
713316503240
oct3113400054
91072812654
10422445100
111a7506290
12b9586664
136969c91c
1440168420
1527148dba
hex192e002c

422445100 has 144 divisors (see below), whose sum is σ = 1158425856. Its totient is φ = 129888000.

The previous prime is 422445083. The next prime is 422445103. The reversal of 422445100 is 1544224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (422445103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638770 + ... + 639430.

It is an arithmetic number, because the mean of its divisors is an integer number (8044624).

Almost surely, 2422445100 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 422445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579212928).

422445100 is an abundant number, since it is smaller than the sum of its proper divisors (735980756).

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

422445100 is a wasteful number, since it uses less digits than its factorization.

422445100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 422445100 is about 20553.4692935280. The cubic root of 422445100 is about 750.3376849727.

Adding to 422445100 its reverse (1544224), we get a palindrome (423989324).

The spelling of 422445100 in words is "four hundred twenty-two million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 83 100 110 140 154 166 175 220 275 308 332 350 385 415 550 581 661 700 770 830 913 1100 1162 1322 1540 1660 1826 1925 2075 2324 2644 2905 3305 3652 3850 4150 4565 4627 5810 6391 6610 7271 7700 8300 9130 9254 11620 12782 13220 14525 14542 16525 18260 18508 22825 23135 25564 29050 29084 31955 33050 36355 45650 46270 50897 54863 58100 63910 66100 72710 91300 92540 101794 109726 115675 127820 145420 159775 181775 203588 219452 231350 254485 274315 319550 363550 384041 462700 508970 548630 603493 639100 727100 768082 1017940 1097260 1206986 1272425 1371575 1536164 1920205 2413972 2544850 2743150 3017465 3840410 4224451 5089700 5486300 6034930 7680820 8448902 9601025 12069860 15087325 16897804 19202050 21122255 30174650 38404100 42244510 60349300 84489020 105611275 211222550 422445100