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226358342700 = 223527206352249
BaseRepresentation
bin1101001011010000000…
…0100011010000101100
3210122021022011020012020
43102310000203100230
512202040213431300
6251553152510140
722232241111120
oct3226400432054
9718238136166
10226358342700
1187aa84241a6
1237a52b4b350
13184650aa169
14ad54a15580
155d4c50d8a0
hex34b402342c

226358342700 has 144 divisors (see below), whose sum is σ = 748868736000. Its totient is φ = 51712980480.

The previous prime is 226358342653. The next prime is 226358342701. The reversal of 226358342700 is 7243853622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (226358342701) 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, 4306176 + ... + 4358424.

Almost surely, 2226358342700 is an apocalyptic number.

226358342700 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 226358342700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374434368000).

226358342700 is an abundant number, since it is smaller than the sum of its proper divisors (522510393300).

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

226358342700 is a wasteful number, since it uses less digits than its factorization.

226358342700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54336 (or 54329 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 226358342700 in words is "two hundred twenty-six billion, three hundred fifty-eight million, three hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2063 2100 4126 6189 8252 10315 12378 14441 20630 24756 28882 30945 41260 43323 51575 52249 57764 61890 72205 86646 103150 104498 123780 144410 154725 156747 173292 206300 208996 216615 261245 288820 309450 313494 361025 365743 433230 522490 618900 626988 722050 731486 783735 866460 1044980 1083075 1097229 1306225 1444100 1462972 1567470 1828715 2166150 2194458 2612450 3134940 3657430 3918675 4332300 4388916 5224900 5486145 7314860 7837350 9143575 10972290 15674700 18287150 21944580 27430725 36574300 54861450 107789687 109722900 215579374 323369061 431158748 538948435 646738122 754527809 1077896870 1293476244 1509055618 1616845305 2155793740 2263583427 2694742175 3018111236 3233690610 3772639045 4527166854 5389484350 6467381220 7545278090 8084226525 9054333708 10778968700 11317917135 15090556180 16168453050 18863195225 22635834270 32336906100 37726390450 45271668540 56589585675 75452780900 113179171350 226358342700