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226852864 = 21572343
BaseRepresentation
bin11011000010110…
…00000000000000
3120210212022121221
431201120000000
5431033242424
634302124424
75423134420
oct1541300000
9523768557
10226852864
11107063a07
1263b80714
1337cc9984
14221b2480
1514db09e4
hexd858000

226852864 has 128 divisors (see below), whose sum is σ = 553639680. Its totient is φ = 90832896.

The previous prime is 226852849. The next prime is 226852867. The reversal of 226852864 is 468258622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 226852864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226852867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5275627 + ... + 5275669.

It is an arithmetic number, because the mean of its divisors is an integer number (4325310).

Almost surely, 2226852864 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 226852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276819840).

226852864 is an abundant number, since it is smaller than the sum of its proper divisors (326786816).

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

226852864 is an frugal number, since it uses more digits than its factorization.

226852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 226852864 is about 15061.6355021624. The cubic root of 226852864 is about 609.8851920456.

The spelling of 226852864 in words is "two hundred twenty-six million, eight hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 128 161 172 184 224 256 301 322 344 368 448 512 602 644 688 736 896 989 1024 1204 1288 1376 1472 1792 1978 2048 2408 2576 2752 2944 3584 3956 4096 4816 5152 5504 5888 6923 7168 7912 8192 9632 10304 11008 11776 13846 14336 15824 16384 19264 20608 22016 23552 27692 28672 31648 32768 38528 41216 44032 47104 55384 57344 63296 77056 82432 88064 94208 110768 114688 126592 154112 164864 176128 188416 221536 229376 253184 308224 329728 352256 376832 443072 506368 616448 659456 704512 753664 886144 1012736 1232896 1318912 1409024 1772288 2025472 2465792 2637824 3544576 4050944 4931584 5275648 7089152 8101888 9863168 14178304 16203776 28356608 32407552 56713216 113426432 226852864