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226040866000 = 2453532132461
BaseRepresentation
bin1101001010000100010…
…1011110010011010000
3210121110011202202000221
43102201011132103100
512200412430203000
6251501452122424
722221334442065
oct3224105362320
9717404682027
10226040866000
11879551a3264
1237984766414
13184143a0621
14ad247b2c6c
155d2e6eb61a
hex34a115e4d0

226040866000 has 80 divisors (see below), whose sum is σ = 556879656528. Its totient is φ = 88710336000.

The previous prime is 226040865989. The next prime is 226040866001. The reversal of 226040866000 is 668040622.

226040866000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34428060304 + 191612805696 = 185548^2 + 437736^2 .

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226040866001) 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, 960231 + ... + 1172230.

Almost surely, 2226040866000 is an apocalyptic number.

226040866000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226040866000 is an abundant number, since it is smaller than the sum of its proper divisors (330838790528).

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

226040866000 is a wasteful number, since it uses less digits than its factorization.

226040866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132537 (or 2132521 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 226040866000 in words is "two hundred twenty-six billion, forty million, eight hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 53000 106000 2132461 4264922 8529844 10662305 17059688 21324610 34119376 42649220 53311525 85298440 106623050 113020433 170596880 213246100 226040866 266557625 426492200 452081732 533115250 565102165 852984400 904163464 1066230500 1130204330 1808326928 2132461000 2260408660 2825510825 4264922000 4520817320 5651021650 9041634640 11302043300 14127554125 22604086600 28255108250 45208173200 56510216500 113020433000 226040866000