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4225881440 = 255112218279
BaseRepresentation
bin1111101111100001…
…1101010101100000
3101220111202000112102
43323320131111200
532123311201230
61535155145532
7206502254024
oct37370352540
911814660472
104225881440
111879444300
1299b2a52a8
1352466b181
142c1352384
1519aee3045
hexfbe1d560

4225881440 has 72 divisors (see below), whose sum is σ = 10973808720. Its totient is φ = 1536677120.

The previous prime is 4225881427. The next prime is 4225881461. The reversal of 4225881440 is 441885224.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4225881394 and 4225881403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89780 + ... + 128499.

It is an arithmetic number, because the mean of its divisors is an integer number (152414010).

Almost surely, 24225881440 is an apocalyptic number.

4225881440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4225881440 is an abundant number, since it is smaller than the sum of its proper divisors (6747927280).

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

4225881440 is a wasteful number, since it uses less digits than its factorization.

4225881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218316 (or 218297 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 38.

The square root of 4225881440 is about 65006.7799540940. The cubic root of 4225881440 is about 1616.7359773782.

The spelling of 4225881440 in words is "four billion, two hundred twenty-five million, eight hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 218279 436558 873116 1091395 1746232 2182790 2401069 3492464 4365580 4802138 6984928 8731160 9604276 12005345 17462320 19208552 24010690 26411759 34924640 38417104 48021380 52823518 76834208 96042760 105647036 132058795 192085520 211294072 264117590 384171040 422588144 528235180 845176288 1056470360 2112940720 4225881440