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226842720 = 25351336353
BaseRepresentation
bin11011000010101…
…01100001100000
3120210211210201020
431201111201200
5431032431340
634302005440
75423063016
oct1541254140
9523753636
10226842720
11107057325
1263b76880
1337cc5180
14221ac8b6
1514dac9d0
hexd855860

226842720 has 96 divisors (see below), whose sum is σ = 769541472. Its totient is φ = 55836672.

The previous prime is 226842697. The next prime is 226842751. The reversal of 226842720 is 27248622.

226842720 is digitally balanced in base 3, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11937 + ... + 24416.

It is an arithmetic number, because the mean of its divisors is an integer number (8016057).

Almost surely, 2226842720 is an apocalyptic number.

226842720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226842720 is an abundant number, since it is smaller than the sum of its proper divisors (542698752).

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

226842720 is a wasteful number, since it uses less digits than its factorization.

226842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36384 (or 36376 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 226842720 is about 15061.2987487799. The cubic root of 226842720 is about 609.8761013256.

The spelling of 226842720 in words is "two hundred twenty-six million, eight hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 36353 72706 109059 145412 181765 218118 290824 363530 436236 472589 545295 581648 727060 872472 945178 1090590 1163296 1417767 1454120 1744944 1890356 2181180 2362945 2835534 2908240 3489888 3780712 4362360 4725890 5671068 5816480 7088835 7561424 8724720 9451780 11342136 14177670 15122848 17449440 18903560 22684272 28355340 37807120 45368544 56710680 75614240 113421360 226842720