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228785004 = 223271971673
BaseRepresentation
bin11011010001011…
…11101101101100
3120221111111000200
431220233231230
5432032110004
634411353500
75445432450
oct1550575554
9527444020
10228785004
11108163618
1264752890
1338525256
1422556660
1515143239
hexda2fb6c

228785004 has 144 divisors (see below), whose sum is σ = 706567680. Its totient is φ = 60963840.

The previous prime is 228785003. The next prime is 228785009. The reversal of 228785004 is 400587822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228785004.

It is not an unprimeable number, because it can be changed into a prime (228785003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339612 + ... + 340284.

It is an arithmetic number, because the mean of its divisors is an integer number (4906720).

Almost surely, 2228785004 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 228785004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353283840).

228785004 is an abundant number, since it is smaller than the sum of its proper divisors (477782676).

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

228785004 is a wasteful number, since it uses less digits than its factorization.

228785004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228785004 is about 15125.6406145327. The cubic root of 228785004 is about 611.6117940449.

The spelling of 228785004 in words is "two hundred twenty-eight million, seven hundred eighty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 71 76 84 114 126 133 142 171 213 228 252 266 284 342 399 426 497 532 639 673 684 798 852 994 1197 1278 1346 1349 1491 1596 1988 2019 2394 2556 2692 2698 2982 4038 4047 4473 4711 4788 5396 5964 6057 8076 8094 8946 9422 9443 12114 12141 12787 14133 16188 17892 18844 18886 24228 24282 25574 28266 28329 37772 38361 42399 47783 48564 51148 56532 56658 76722 84798 84987 89509 95566 113316 115083 143349 153444 169596 169974 179018 191132 230166 268527 286698 334481 339948 358036 430047 460332 537054 573396 668962 805581 860094 907877 1003443 1074108 1337924 1611162 1720188 1815754 2006886 2723631 3010329 3222324 3631508 4013772 5447262 6020658 6355139 8170893 10894524 12041316 12710278 16341786 19065417 25420556 32683572 38130834 57196251 76261668 114392502 228785004