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900442228 = 2274295361
BaseRepresentation
bin110101101010111…
…010100001110100
32022202100012112011
4311222322201310
53321003122403
6225203334004
731212430000
oct6552724164
92282305464
10900442228
11422304634
12211681304
1311471ca6a
1487833700
15540b7a6d
hex35aba874

900442228 has 120 divisors (see below), whose sum is σ = 1969327080. Its totient is φ = 359573760.

The previous prime is 900442219. The next prime is 900442229. The reversal of 900442228 is 822244009.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 858607204 = 6468^2 + 29302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 900442228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900442229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14761318 + ... + 14761378.

It is an arithmetic number, because the mean of its divisors is an integer number (16411059).

Almost surely, 2900442228 is an apocalyptic number.

900442228 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900442228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984663540).

900442228 is an abundant number, since it is smaller than the sum of its proper divisors (1068884852).

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

900442228 is a wasteful number, since it uses less digits than its factorization.

900442228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 900442228 is about 30007.3695614927. The cubic root of 900442228 is about 965.6474944303.

The spelling of 900442228 in words is "nine hundred million, four hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 49 53 58 61 98 106 116 122 196 203 212 244 343 371 406 427 686 742 812 854 1372 1421 1484 1537 1708 1769 2401 2597 2842 2989 3074 3233 3538 4802 5194 5684 5978 6148 6466 7076 9604 9947 10388 10759 11956 12383 12932 18179 19894 20923 21518 22631 24766 36358 39788 41846 43036 45262 49532 69629 72716 75313 83692 86681 90524 93757 127253 139258 146461 150626 158417 173362 187514 254506 278516 292922 301252 316834 346724 375028 509012 527191 585844 606767 633668 656299 1054382 1108919 1213534 1312598 2108764 2217838 2427068 2625196 3690337 4247369 4435676 4594093 7380674 7762433 8494738 9188186 14761348 15524866 16989476 18376372 31049732 32158651 64317302 128634604 225110557 450221114 900442228