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226313020000 = 255431365021
BaseRepresentation
bin1101001011000101001…
…1101010001001100000
3210122011010212121010201
43102301103222021200
512201442113120000
6251544453234544
722231150634014
oct3226123521140
9718133777121
10226313020000
1187a84888621
1237a3b932a54
131845889b9b2
14ad4c9b8544
155d4855996a
hex34b14ea260

226313020000 has 120 divisors (see below), whose sum is σ = 574725678912. Its totient is φ = 87604800000.

The previous prime is 226313019991. The next prime is 226313020007. The reversal of 226313020000 is 20313622.

It is a self number, because there is not a number n which added to its sum of digits gives 226313020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226313020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 437490 + ... + 802510.

Almost surely, 2226313020000 is an apocalyptic number.

226313020000 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 226313020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287362839456).

226313020000 is an abundant number, since it is smaller than the sum of its proper divisors (348412658912).

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

226313020000 is an equidigital number, since it uses as much as digits as its factorization.

226313020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365082 (or 365059 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 226313020000 its reverse (20313622), we get a palindrome (226333333622).

The spelling of 226313020000 in words is "two hundred twenty-six billion, three hundred thirteen million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 10000 12400 15500 19375 20000 24800 31000 38750 62000 77500 124000 155000 310000 365021 620000 730042 1460084 1825105 2920168 3650210 5840336 7300420 9125525 11315651 11680672 14600840 18251050 22631302 29201680 36502100 45262604 45627625 56578255 58403360 73004200 90525208 91255250 113156510 146008400 181050416 182510500 226313020 228138125 282891275 292016800 362100832 365021000 452626040 456276250 565782550 730042000 905252080 912552500 1131565100 1414456375 1460084000 1810504160 1825105000 2263130200 2828912750 3650210000 4526260400 5657825500 7072281875 7300420000 9052520800 11315651000 14144563750 22631302000 28289127500 45262604000 56578255000 113156510000 226313020000