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226521045540 = 223253742180789
BaseRepresentation
bin1101001011110110110…
…1001101101000100100
3210122200122022101112100
43102331231031220210
512202403341424130
6252021244052100
722236255055326
oct3227555155044
9718618271470
10226521045540
1188081252259
1237a99534030
131848ca05c2a
14ad6c489616
155d5b94bc60
hex34bdb4da24

226521045540 has 144 divisors (see below), whose sum is σ = 707369448240. Its totient is φ = 58632698880.

The previous prime is 226521045539. The next prime is 226521045547. The reversal of 226521045540 is 45540125622.

226521045540 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 2 + 104 + 5 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40565182464 + 185955863076 = 201408^2 + 431226^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226521045495 and 226521045504.

It is not an unprimeable number, because it can be changed into a prime (226521045547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2763466 + ... + 2844254.

It is an arithmetic number, because the mean of its divisors is an integer number (4912287835).

Almost surely, 2226521045540 is an apocalyptic number.

226521045540 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 226521045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353684724120).

226521045540 is an abundant number, since it is smaller than the sum of its proper divisors (480848402700).

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

226521045540 is a wasteful number, since it uses less digits than its factorization.

226521045540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81262 (or 81257 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 226521045540 in words is "two hundred twenty-six billion, five hundred twenty-one million, forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 421 444 555 666 740 842 1110 1263 1332 1665 1684 2105 2220 2526 3330 3789 4210 5052 6315 6660 7578 8420 12630 15156 15577 18945 25260 31154 37890 46731 62308 75780 77885 80789 93462 140193 155770 161578 186924 233655 242367 280386 311540 323156 403945 467310 484734 560772 700965 727101 807890 934620 969468 1211835 1401930 1454202 1615780 2423670 2803860 2908404 2989193 3635505 4847340 5978386 7271010 8967579 11956772 14542020 14945965 17935158 26902737 29891930 34012169 35870316 44837895 53805474 59783860 68024338 89675790 102036507 107610948 134513685 136048676 170060845 179351580 204073014 269027370 306109521 340121690 408146028 510182535 538054740 612219042 680243380 1020365070 1224438084 1258450253 1530547605 2040730140 2516900506 3061095210 3775350759 5033801012 6122190420 6292251265 7550701518 11326052277 12584502530 15101403036 18876753795 22652104554 25169005060 37753507590 45304209108 56630261385 75507015180 113260522770 226521045540