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4228415047220 = 22571321912237691
BaseRepresentation
bin111101100010000001001…
…011010100011000110100
3112222020021111220100022212
4331202001023110120310
51023234243223002340
612554301305112552
7614331031606310
oct75420113243064
915866244810285
104228415047220
111390296072371
125835b3788758
13248979014c00
14108929170b40
1574ecdd2ca65
hex3d8812d4634

4228415047220 has 288 divisors, whose sum is σ = 11578200238080. Its totient is φ = 1266589509120.

The previous prime is 4228415047193. The next prime is 4228415047271. The reversal of 4228415047220 is 227405148224.

It is a happy number.

It is a super-3 number, since 3×42284150472203 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549783575 + ... + 549791265.

It is an arithmetic number, because the mean of its divisors is an integer number (40202084160).

Almost surely, 24228415047220 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 4228415047220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789100119040).

4228415047220 is an abundant number, since it is smaller than the sum of its proper divisors (7349785190860).

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

4228415047220 is a wasteful number, since it uses less digits than its factorization.

4228415047220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 41.

The spelling of 4228415047220 in words is "four trillion, two hundred twenty-eight billion, four hundred fifteen million, forty-seven thousand, two hundred twenty".