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226835840 = 2757114603
BaseRepresentation
bin11011000010100…
…11110110000000
3120210211110021102
431201103312000
5431032221330
634301513532
75423033660
oct1541236600
9523743242
10226835840
11107052140
1263b728a8
1337cc1cba
14221aa1a0
1514daa945
hexd853d80

226835840 has 128 divisors (see below), whose sum is σ = 676235520. Its totient is φ = 70686720.

The previous prime is 226835837. The next prime is 226835849. The reversal of 226835840 is 48538622.

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

It is a junction number, because it is equal to n+sod(n) for n = 226835794 and 226835803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226835849) 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, 46979 + ... + 51581.

It is an arithmetic number, because the mean of its divisors is an integer number (5283090).

Almost surely, 2226835840 is an apocalyptic number.

226835840 is a gapful number since it is divisible by the number (20) 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 226835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338117760).

226835840 is an abundant number, since it is smaller than the sum of its proper divisors (449399680).

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

226835840 is a wasteful number, since it uses less digits than its factorization.

226835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 226835840 is about 15061.0703470902. The cubic root of 226835840 is about 609.8699355411.

The spelling of 226835840 in words is "two hundred twenty-six million, eight hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4603 4928 6160 7040 9206 9856 12320 18412 23015 24640 32221 36824 46030 49280 50633 64442 73648 92060 101266 128884 147296 161105 184120 202532 253165 257768 294592 322210 354431 368240 405064 506330 515536 589184 644420 708862 736480 810128 1012660 1031072 1288840 1417724 1472960 1620256 1772155 2025320 2062144 2577680 2835448 2945920 3240512 3544310 4050640 4124288 5155360 5670896 6481024 7088620 8101280 10310720 11341792 14177240 16202560 20621440 22683584 28354480 32405120 45367168 56708960 113417920 226835840