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226970520 = 23357475749
BaseRepresentation
bin11011000011101…
…00101110011000
3120211002022000120
431201310232120
5431101024040
634304433240
75424134430
oct1541645630
9524068016
10226970520
11107134347
1264018820
133803b3aa
14222032c0
1514dd57d0
hexd874b98

226970520 has 128 divisors (see below), whose sum is σ = 794880000. Its totient is φ = 50766336.

The previous prime is 226970489. The next prime is 226970521. The reversal of 226970520 is 25079622.

It is a happy number.

226970520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226970521) 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, 36606 + ... + 42354.

It is an arithmetic number, because the mean of its divisors is an integer number (6210000).

Almost surely, 2226970520 is an apocalyptic number.

226970520 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 226970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440000).

226970520 is an abundant number, since it is smaller than the sum of its proper divisors (567909480).

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

226970520 is a wasteful number, since it uses less digits than its factorization.

226970520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 226970520 is about 15065.5408133927. The cubic root of 226970520 is about 609.9906116982.

The spelling of 226970520 in words is "two hundred twenty-six million, nine hundred seventy thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 5749 6580 7896 9870 11498 13160 17247 19740 22996 28745 34494 39480 40243 45992 57490 68988 80486 86235 114980 120729 137976 160972 172470 201215 229960 241458 270203 321944 344940 402430 482916 540406 603645 689880 804860 810609 965832 1080812 1207290 1351015 1609720 1621218 1891421 2161624 2414580 2702030 3242436 3782842 4053045 4829160 5404060 5674263 6484872 7565684 8106090 9457105 10808120 11348526 15131368 16212180 18914210 22697052 28371315 32424360 37828420 45394104 56742630 75656840 113485260 226970520