Search a number
-
+
226541764160 = 2652343715817
BaseRepresentation
bin1101001011111011110…
…0001111111001000000
3210122202002022000010122
43102332330033321000
512202424142423120
6252023304115412
722236626136425
oct3227674177100
9718662260118
10226541764160
1188091a13488
1237aa4465b68
13184940ab47a
14ad7111dd4c
155d5d690a25
hex34bef0fe40

226541764160 has 112 divisors (see below), whose sum is σ = 575998701696. Its totient is φ = 84660989952.

The previous prime is 226541764151. The next prime is 226541764199. The reversal of 226541764160 is 61467145622.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41429 + ... + 674388.

Almost surely, 2226541764160 is an apocalyptic number.

226541764160 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 226541764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287999350848).

226541764160 is an abundant number, since it is smaller than the sum of its proper divisors (349456937536).

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

226541764160 is a wasteful number, since it uses less digits than its factorization.

226541764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715900 (or 715890 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 226541764160 in words is "two hundred twenty-six billion, five hundred forty-one million, seven hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 43 46 64 80 86 92 115 160 172 184 215 230 320 344 368 430 460 688 736 860 920 989 1376 1472 1720 1840 1978 2752 3440 3680 3956 4945 6880 7360 7912 9890 13760 15824 19780 31648 39560 63296 79120 158240 316480 715817 1431634 2863268 3579085 5726536 7158170 11453072 14316340 16463791 22906144 28632680 30780131 32927582 45812288 57265360 61560262 65855164 82318955 114530720 123120524 131710328 153900655 164637910 229061440 246241048 263420656 307801310 329275820 492482096 526841312 615602620 658551640 707943013 984964192 1053682624 1231205240 1317103280 1415886026 1969928384 2462410480 2634206560 2831772052 3539715065 4924820960 5268413120 5663544104 7079430130 9849641920 11327088208 14158860260 22654176416 28317720520 45308352832 56635441040 113270882080 226541764160