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226352214040 = 235172935931973
BaseRepresentation
bin1101001011001110100…
…1001011000000011000
3210122020212121212020211
43102303221023000120
512202032131322130
6251552413300504
722232135034241
oct3226351130030
9718225555224
10226352214040
1187aa4a18697
1237a50a94734
1318463a42734
14ad53c9bcc8
155d4bbeca2a
hex34b3a4b018

226352214040 has 128 divisors (see below), whose sum is σ = 559417104000. Its totient is φ = 82044755968.

The previous prime is 226352214017. The next prime is 226352214041. The reversal of 226352214040 is 40412253622.

It is a junction number, because it is equal to n+sod(n) for n = 226352213993 and 226352214011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226352214041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063494 + ... + 7095466.

It is an arithmetic number, because the mean of its divisors is an integer number (4370446125).

Almost surely, 2226352214040 is an apocalyptic number.

226352214040 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 226352214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279708552000).

226352214040 is an abundant number, since it is smaller than the sum of its proper divisors (333064889960).

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

226352214040 is a wasteful number, since it uses less digits than its factorization.

226352214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32389 (or 32385 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 226352214040 its reverse (40412253622), we get a palindrome (266764467662).

The spelling of 226352214040 in words is "two hundred twenty-six billion, three hundred fifty-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 359 493 580 680 718 986 1160 1436 1795 1972 2465 2872 3590 3944 4930 6103 7180 9860 10411 12206 14360 19720 20822 24412 30515 31973 41644 48824 52055 61030 63946 83288 104110 122060 127892 159865 176987 208220 244120 255784 319730 353974 416440 543541 639460 707948 884935 927217 1087082 1278920 1415896 1769870 1854434 2174164 2717705 3539740 3708868 4348328 4636085 5435410 7079480 7417736 9272170 10870820 11478307 15762689 18544340 21741640 22956614 31525378 37088680 45913228 57391535 63050756 78813445 91826456 114783070 126101512 157626890 195131219 229566140 315253780 332870903 390262438 459132280 630507560 665741806 780524876 975656095 1331483612 1561049752 1664354515 1951312190 2662967224 3328709030 3902624380 5658805351 6657418060 7805248760 11317610702 13314836120 22635221404 28294026755 45270442808 56588053510 113176107020 226352214040