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228628515150 = 232527499914519
BaseRepresentation
bin1101010011101101010…
…0100100100101001110
3210212010111212221100100
43110323110210211032
512221212344441100
6253010330311530
722342425212520
oct3247324444516
9725114787310
10228628515150
1188a62922382
12383872885a6
131873750a979
14b0cc31ba10
155e3198c400
hex353b52494e

228628515150 has 144 divisors (see below), whose sum is σ = 702187200000. Its totient is φ = 52243894080.

The previous prime is 228628515131. The next prime is 228628515151. The reversal of 228628515150 is 51515826822.

228628515150 is a `hidden beast` number, since 2 + 2 + 8 + 628 + 5 + 1 + 5 + 15 + 0 = 666.

228628515150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 228628515096 and 228628515105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228628515151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15739591 + ... + 15754109.

It is an arithmetic number, because the mean of its divisors is an integer number (4876300000).

Almost surely, 2228628515150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228628515150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351093600000).

228628515150 is an abundant number, since it is smaller than the sum of its proper divisors (473558684850).

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

228628515150 is a wasteful number, since it uses less digits than its factorization.

228628515150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543 (or 19535 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 228628515150 in words is "two hundred twenty-eight billion, six hundred twenty-eight million, five hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 4999 9998 14519 14997 24995 29038 29994 34993 43557 44991 49990 69986 72595 74985 87114 89982 101633 104979 124975 130671 145190 149970 174965 203266 209958 217785 224955 249950 261342 304899 314937 349930 362975 374925 435570 449910 508165 524895 609798 629874 653355 725950 749850 874825 914697 1016330 1049790 1088925 1124775 1306710 1524495 1574685 1749650 1829394 2177850 2249550 2540825 2624475 3048990 3149370 3266775 4573485 5081650 5248950 6533550 7622475 7873425 9146970 15244950 15746850 22867425 45734850 72580481 145160962 217741443 362902405 435482886 508063367 653224329 725804810 1016126734 1088707215 1306448658 1524190101 1814512025 2177414430 2540316835 3048380202 3266121645 3629024050 4572570303 5080633670 5443536075 6532243290 7620950505 9145140606 10887072150 12701584175 15241901010 16330608225 22862851515 25403168350 32661216450 38104752525 45725703030 76209505050 114314257575 228628515150