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226539040 = 25571315559
BaseRepresentation
bin11011000000010…
…11011000100000
3120210021101010211
431200023120200
5430443222130
634251303504
75420356450
oct1540133040
9523241124
10226539040
1110696a152
1263a4ab94
1337c19b90
142212dd60
1514d4ca2a
hexd80b620

226539040 has 96 divisors (see below), whose sum is σ = 658748160. Its totient is φ = 71691264.

The previous prime is 226539037. The next prime is 226539067. The reversal of 226539040 is 40935622.

It is a junction number, because it is equal to n+sod(n) for n = 226538993 and 226539011.

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, 6781 + ... + 22339.

It is an arithmetic number, because the mean of its divisors is an integer number (6861960).

Almost surely, 2226539040 is an apocalyptic number.

226539040 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 226539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329374080).

226539040 is an abundant number, since it is smaller than the sum of its proper divisors (432209120).

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

226539040 is a wasteful number, since it uses less digits than its factorization.

226539040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15594 (or 15586 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 226539040 is about 15051.2139045328. The cubic root of 226539040 is about 609.6038276799.

The spelling of 226539040 in words is "two hundred twenty-six million, five hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 15559 31118 62236 77795 108913 124472 155590 202267 217826 248944 311180 404534 435652 497888 544565 622360 809068 871304 1011335 1089130 1244720 1415869 1618136 1742608 2022670 2178260 2489440 2831738 3236272 3485216 4045340 4356520 5663476 6472544 7079345 8090680 8713040 11326952 14158690 16181360 17426080 22653904 28317380 32362720 45307808 56634760 113269520 226539040