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228806480 = 2457258369
BaseRepresentation
bin11011010001101…
…00111101010000
3120221112120111002
431220310331100
5432033301410
634412041132
75445552200
oct1550647520
9527476432
10228806480
11108178771
12647631a8
1338531c66
1422560400
15151497a5
hexda34f50

228806480 has 60 divisors (see below), whose sum is σ = 618838740. Its totient is φ = 78446592.

The previous prime is 228806471. The next prime is 228806489. The reversal of 228806480 is 84608822.

228806480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228806471) and next prime (228806489).

It can be written as a sum of positive squares in 2 ways, for example, as 102738496 + 126067984 = 10136^2 + 11228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228806489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25265 + ... + 33104.

It is an arithmetic number, because the mean of its divisors is an integer number (10313979).

Almost surely, 2228806480 is an apocalyptic number.

228806480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228806480 is an abundant number, since it is smaller than the sum of its proper divisors (390032260).

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

228806480 is a wasteful number, since it uses less digits than its factorization.

228806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58396 (or 58383 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 228806480 is about 15126.3505182182. The cubic root of 228806480 is about 611.6309307361.

The spelling of 228806480 in words is "two hundred twenty-eight million, eight hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 58369 116738 233476 291845 408583 466952 583690 817166 933904 1167380 1634332 2042915 2334760 2860081 3268664 4085830 4669520 5720162 6537328 8171660 11440324 14300405 16343320 22880648 28600810 32686640 45761296 57201620 114403240 228806480