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226400711250 = 2354731278219
BaseRepresentation
bin1101001011011010001…
…0001011001001010010
3210122101020212202220210
43102312202023021102
512202132040230000
6252001304544550
722233264202440
oct3226642131122
9718336782823
10226400711250
118801a33232a
1237a65182156
1318470ac2acc
14ad5a4c3b90
155d510cc350
hex34b688b252

226400711250 has 160 divisors (see below), whose sum is σ = 667514327040. Its totient is φ = 50079240000.

The previous prime is 226400711227. The next prime is 226400711293. The reversal of 226400711250 is 52117004622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 674641 + ... + 952859.

It is an arithmetic number, because the mean of its divisors is an integer number (4171964544).

Almost surely, 2226400711250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226400711250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333757163520).

226400711250 is an abundant number, since it is smaller than the sum of its proper divisors (441113615790).

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

226400711250 is a wasteful number, since it uses less digits than its factorization.

226400711250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278282 (or 278267 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 226400711250 its reverse (52117004622), we get a palindrome (278517715872).

The spelling of 226400711250 in words is "two hundred twenty-six billion, four hundred million, seven hundred eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 125 150 155 175 186 210 217 250 310 350 375 434 465 525 625 651 750 775 875 930 1050 1085 1250 1302 1550 1750 1875 2170 2325 2625 3255 3750 3875 4375 4650 5250 5425 6510 7750 8750 10850 11625 13125 16275 19375 23250 26250 27125 32550 38750 54250 58125 81375 116250 135625 162750 271250 278219 406875 556438 813750 834657 1391095 1669314 1947533 2782190 3895066 4173285 5842599 6955475 8346570 8624789 9737665 11685198 13910950 17249578 19475330 20866425 25874367 29212995 34777375 41732850 43123945 48688325 51748734 58425990 60373523 69554750 86247890 97376650 104332125 120747046 129371835 146064975 173886875 181120569 208664250 215619725 243441625 258743670 292129950 301867615 347773750 362241138 431239450 486883250 521660625 603735230 646859175 730324875 905602845 1043321250 1078098625 1217208125 1293718350 1460649750 1509338075 1811205690 2156197250 2434416250 3018676150 3234295875 3651624375 4528014225 5390493125 6468591750 7303248750 7546690375 9056028450 10780986250 15093380750 16171479375 22640071125 32342958750 37733451875 45280142250 75466903750 113200355625 226400711250