Search a number
-
+
226122640240 = 245738240621
BaseRepresentation
bin1101001010010111110…
…1011010101101110000
3210121122212122022012111
43102211331122231300
512201044343441430
6251513532535104
722223346505000
oct3224575325560
9717585568174
10226122640240
1187997376482
12379a8021494
1318428302453
14ad315bc000
155d369a0c2a
hex34a5f5ab70

226122640240 has 80 divisors (see below), whose sum is σ = 613102276800. Its totient is φ = 77527752960.

The previous prime is 226122640213. The next prime is 226122640241. The reversal of 226122640240 is 42046221622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2261226402402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226122640241) 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, 4092871 + ... + 4147750.

It is an arithmetic number, because the mean of its divisors is an integer number (7663778460).

Almost surely, 2226122640240 is an apocalyptic number.

226122640240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226122640240 is an abundant number, since it is smaller than the sum of its proper divisors (386979636560).

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

226122640240 is an equidigital number, since it uses as much as digits as its factorization.

226122640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240655 (or 8240635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 226122640240 its reverse (42046221622), we get a palindrome (268168861862).

The spelling of 226122640240 in words is "two hundred twenty-six billion, one hundred twenty-two million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 8240621 16481242 32962484 41203105 57684347 65924968 82406210 115368694 131849936 164812420 230737388 288421735 329624840 403790429 461474776 576843470 659249680 807580858 922949552 1153686940 1615161716 2018952145 2307373880 2826533003 3230323432 4037904290 4614747760 5653066006 6460646864 8075808580 11306132012 14132665015 16151617160 22612264024 28265330030 32303234320 45224528048 56530660060 113061320120 226122640240