Search a number
-
+
228170188620 = 2232511761151429
BaseRepresentation
bin1101010010000000000…
…0001100011101001100
3210210221120110112112200
43110200000030131030
512214243032013440
6252453035001500
722325161413543
oct3244000143514
9723846415480
10228170188620
1188848139920
1238279899290
131869358703a
14b0874d315a
155e06606c30
hex352000c74c

228170188620 has 144 divisors (see below), whose sum is σ = 756033052320. Its totient is φ = 55240934400.

The previous prime is 228170188619. The next prime is 228170188621. The reversal of 228170188620 is 26881071822.

It is a happy number.

228170188620 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 7 + 0 + 18 + 8 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (228170188619) and next prime (228170188621).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228170188621) 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 47 ways as a sum of consecutive naturals, for example, 1431066 + ... + 1582494.

It is an arithmetic number, because the mean of its divisors is an integer number (5250229530).

Almost surely, 2228170188620 is an apocalyptic number.

228170188620 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 228170188620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378016526160).

228170188620 is an abundant number, since it is smaller than the sum of its proper divisors (527862863700).

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

228170188620 is a wasteful number, since it uses less digits than its factorization.

228170188620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152216 (or 152211 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 228170188620 in words is "two hundred twenty-eight billion, one hundred seventy million, one hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 761 990 1522 1980 2283 3044 3805 4566 6849 7610 8371 9132 11415 13698 15220 16742 22830 25113 27396 33484 34245 41855 45660 50226 68490 75339 83710 100452 125565 136980 150678 151429 167420 251130 301356 302858 376695 454287 502260 605716 753390 757145 908574 1362861 1506780 1514290 1665719 1817148 2271435 2725722 3028580 3331438 4542870 4997157 5451444 6662876 6814305 8328595 9085740 9994314 13628610 14991471 16657190 19988628 24985785 27257220 29982942 33314380 49971570 59965884 74957355 99943140 115237469 149914710 230474938 299829420 345712407 460949876 576187345 691424814 1037137221 1152374690 1267612159 1382849628 1728562035 2074274442 2304749380 2535224318 3457124070 3802836477 4148548884 5070448636 5185686105 6338060795 6914248140 7605672954 10371372210 11408509431 12676121590 15211345908 19014182385 20742744420 22817018862 25352243180 38028364770 45634037724 57042547155 76056729540 114085094310 228170188620