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226526253540 = 223561211293329
BaseRepresentation
bin1101001011111000000…
…1000101000111100100
3210122201000002222120020
43102332001011013210
512202411210103130
6252021551435140
722236350246106
oct3227601050744
9718630088506
10226526253540
118808418a094
1237a9b225ab0
1318490b0a5a2
14ad6d043576
155d5c129e10
hex34be0451e4

226526253540 has 96 divisors (see below), whose sum is σ = 647728959360. Its totient is φ = 59134924800.

The previous prime is 226526253539. The next prime is 226526253607. The reversal of 226526253540 is 45352625622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226526253492 and 226526253501.

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 31 ways as a sum of consecutive naturals, for example, 625596 + ... + 918924.

It is an arithmetic number, because the mean of its divisors is an integer number (6747176660).

Almost surely, 2226526253540 is an apocalyptic number.

226526253540 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 226526253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323864479680).

226526253540 is an abundant number, since it is smaller than the sum of its proper divisors (421202705820).

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

226526253540 is a wasteful number, since it uses less digits than its factorization.

226526253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293613 (or 293611 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 226526253540 in words is "two hundred twenty-six billion, five hundred twenty-six million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 211 244 305 366 422 610 633 732 844 915 1055 1220 1266 1830 2110 2532 3165 3660 4220 6330 12660 12871 25742 38613 51484 64355 77226 128710 154452 193065 257420 293329 386130 586658 772260 879987 1173316 1466645 1759974 2933290 3519948 4399935 5866580 8799870 17599740 17893069 35786138 53679207 61892419 71572276 89465345 107358414 123784838 178930690 185677257 214716828 247569676 268396035 309462095 357861380 371354514 536792070 618924190 742709028 928386285 1073584140 1237848380 1856772570 3713545140 3775437559 7550875118 11326312677 15101750236 18877187795 22652625354 37754375590 45305250708 56631563385 75508751180 113263126770 226526253540