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226316640 = 25351142863
BaseRepresentation
bin11010111110101…
…01000101100000
3120202212002001210
431133111011200
5430414113030
634242430120
75415442164
oct1537250540
9522762053
10226316640
11106828050
1263962340
1337b6c894
14220b2ca4
1514d06bb0
hexd7d5160

226316640 has 96 divisors (see below), whose sum is σ = 777724416. Its totient is φ = 54863360.

The previous prime is 226316639. The next prime is 226316683. The reversal of 226316640 is 46613622.

226316640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226316598 and 226316607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16152 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (8101296).

Almost surely, 2226316640 is an apocalyptic number.

226316640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226316640 is an abundant number, since it is smaller than the sum of its proper divisors (551407776).

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

226316640 is a wasteful number, since it uses less digits than its factorization.

226316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42892 (or 42884 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226316640 is about 15043.8239819535. The cubic root of 226316640 is about 609.4042737285.

The spelling of 226316640 in words is "two hundred twenty-six million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 42863 85726 128589 171452 214315 257178 342904 428630 471493 514356 642945 685808 857260 942986 1028712 1285890 1371616 1414479 1714520 1885972 2057424 2357465 2571780 2828958 3429040 3771944 4114848 4714930 5143560 5657916 6858080 7072395 7543888 9429860 10287120 11315832 14144790 15087776 18859720 20574240 22631664 28289580 37719440 45263328 56579160 75438880 113158320 226316640