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228122730 = 23451125603
BaseRepresentation
bin11011001100011…
…10000001101010
3120220020211120000
431212032001222
5431344411410
634345243430
75440003563
oct1546160152
9526224500
10228122730
11107850a90
1264493576
1338352984
142242316a
1515061dc0
hexd98e06a

228122730 has 80 divisors (see below), whose sum is σ = 669186144. Its totient is φ = 55300320.

The previous prime is 228122693. The next prime is 228122731. The reversal of 228122730 is 37221822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 228122694 and 228122703.

It is not an unprimeable number, because it can be changed into a prime (228122731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3892 + ... + 21711.

Almost surely, 2228122730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228122730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334593072).

228122730 is an abundant number, since it is smaller than the sum of its proper divisors (441063414).

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

228122730 is a wasteful number, since it uses less digits than its factorization.

228122730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228122730 is about 15103.7323201916. The cubic root of 228122730 is about 611.0210705052.

The spelling of 228122730 in words is "two hundred twenty-eight million, one hundred twenty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 25603 51206 76809 128015 153618 230427 256030 281633 384045 460854 563266 691281 768090 844899 1152135 1382562 1408165 1689798 2073843 2304270 2534697 2816330 3456405 4147686 4224495 5069394 6912810 7604091 8448990 10369215 12673485 15208182 20738430 22812273 25346970 38020455 45624546 76040910 114061365 228122730