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422233856 = 2811243317
BaseRepresentation
bin11001001010101…
…100011100000000
31002102111200221222
4121022230130000
51331042440411
6105521534212
713314633332
oct3112543400
91072450858
10422233856
111a7381600
12b94a4368
1369627725
1440111452
15271064db
hex192ac700

422233856 has 108 divisors (see below), whose sum is σ = 950938296. Its totient is φ = 186869760.

The previous prime is 422233841. The next prime is 422233871. The reversal of 422233856 is 658332224.

It is an interprime number because it is at equal distance from previous prime (422233841) and next prime (422233871).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1331810 + ... + 1332126.

Almost surely, 2422233856 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 422233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475469148).

422233856 is an abundant number, since it is smaller than the sum of its proper divisors (528704440).

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

422233856 is a wasteful number, since it uses less digits than its factorization.

422233856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 373 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 422233856 is about 20548.3297618079. The cubic root of 422233856 is about 750.2125951395.

The spelling of 422233856 in words is "four hundred twenty-two million, two hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 242 256 317 344 352 473 484 634 688 704 946 968 1268 1376 1408 1892 1936 2536 2752 2816 3487 3784 3872 5072 5203 5504 6974 7568 7744 10144 10406 11008 13631 13948 15136 15488 20288 20812 27262 27896 30272 30976 38357 40576 41624 54524 55792 60544 76714 81152 83248 109048 111584 121088 149941 153428 166496 218096 223168 299882 306856 332992 436192 446336 599764 613712 665984 872384 892672 1199528 1227424 1331968 1649351 1744768 2399056 2454848 3298702 3489536 4798112 4909696 6597404 9596224 9819392 13194808 19192448 26389616 38384896 52779232 105558464 211116928 422233856