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220997128 = 23117983383
BaseRepresentation
bin11010010110000…
…10011000001000
3120101211211001211
431023002120020
5423033402003
633532422504
75322305332
oct1513023010
9511754054
10220997128
11103824460
1262017a34
1336a29541
14214ca452
151460596d
hexd2c2608

220997128 has 64 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 97730880.

The previous prime is 220997071. The next prime is 220997129. The reversal of 220997128 is 821799022.

It is not an unprimeable number, because it can be changed into a prime (220997129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576825 + ... + 577207.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2220997128 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 220997128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

220997128 is an abundant number, since it is smaller than the sum of its proper divisors (243489272).

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

220997128 is a wasteful number, since it uses less digits than its factorization.

220997128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 220997128 is about 14865.9721511915. The cubic root of 220997128 is about 604.5917405929.

The spelling of 220997128 in words is "two hundred twenty million, nine hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 79 83 88 158 166 316 332 383 632 664 766 869 913 1532 1738 1826 3064 3476 3652 4213 6557 6952 7304 8426 13114 16852 26228 30257 31789 33704 52456 60514 63578 72127 121028 127156 144254 242056 254312 288508 332827 349679 577016 665654 699358 1331308 1398716 2511331 2662616 2797432 5022662 10045324 20090648 27624641 55249282 110498564 220997128