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228916043100 = 2232522411055399
BaseRepresentation
bin1101010100110001110…
…1011001110101011100
3210212212112220212112200
43111030131121311130
512222310001334400
6253055041131500
722352516155443
oct3251435316534
9725775825480
10228916043100
11890a0158388
1238447629b90
1318781c5c954
14b1185a5d5a
155e4bd35b00
hex354c759d5c

228916043100 has 108 divisors (see below), whose sum is σ = 720502582800. Its totient is φ = 60790924800.

The previous prime is 228916043093. The next prime is 228916043101. The reversal of 228916043100 is 1340619822.

228916043100 is a `hidden beast` number, since 2 + 289 + 1 + 60 + 4 + 310 + 0 = 666.

It is a super-2 number, since 2×2289160431002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228916043101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310800 + ... + 744599.

Almost surely, 2228916043100 is an apocalyptic number.

228916043100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228916043100 is an abundant number, since it is smaller than the sum of its proper divisors (491586539700).

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

228916043100 is a wasteful number, since it uses less digits than its factorization.

228916043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055660 (or 1055650 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 228916043100 in words is "two hundred twenty-eight billion, nine hundred sixteen million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 241 300 450 482 723 900 964 1205 1446 2169 2410 2892 3615 4338 4820 6025 7230 8676 10845 12050 14460 18075 21690 24100 36150 43380 54225 72300 108450 216900 1055399 2110798 3166197 4221596 5276995 6332394 9498591 10553990 12664788 15830985 18997182 21107980 26384975 31661970 37994364 47492955 52769950 63323940 79154925 94985910 105539900 158309850 189971820 237464775 254351159 316619700 474929550 508702318 763053477 949859100 1017404636 1271755795 1526106954 2289160431 2543511590 3052213908 3815267385 4578320862 5087023180 6358778975 7630534770 9156641724 11445802155 12717557950 15261069540 19076336925 22891604310 25435115900 38152673850 45783208620 57229010775 76305347700 114458021550 228916043100