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204012228 = 223737411601
BaseRepresentation
bin11000010100011…
…11101011000100
3112012212220011110
430022033223010
5404211342403
632124405020
75025034560
oct1412175304
9465786143
10204012228
11a5183452
12583a6770
13333605c4
141d1486a0
1512d9d103
hexc28fac4

204012228 has 96 divisors (see below), whose sum is σ = 572721408. Its totient is φ = 55296000.

The previous prime is 204012199. The next prime is 204012229. The reversal of 204012228 is 822210402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (204012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126628 + ... + 128228.

It is an arithmetic number, because the mean of its divisors is an integer number (5965848).

Almost surely, 2204012228 is an apocalyptic number.

204012228 is a gapful number since it is divisible by the number (28) 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 204012228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286360704).

204012228 is an abundant number, since it is smaller than the sum of its proper divisors (368709180).

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

204012228 is a wasteful number, since it uses less digits than its factorization.

204012228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 204012228 is about 14283.2849162929. The cubic root of 204012228 is about 588.6882934413.

The spelling of 204012228 in words is "two hundred four million, twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 41 42 74 82 84 111 123 148 164 222 246 259 287 444 492 518 574 777 861 1036 1148 1517 1554 1601 1722 3034 3108 3202 3444 4551 4803 6068 6404 9102 9606 10619 11207 18204 19212 21238 22414 31857 33621 42476 44828 59237 63714 65641 67242 118474 127428 131282 134484 177711 196923 236948 262564 355422 393846 414659 459487 710844 787692 829318 918974 1243977 1378461 1658636 1837948 2428717 2487954 2756922 4857434 4975908 5513844 7286151 9714868 14572302 17001019 29144604 34002038 51003057 68004076 102006114 204012228