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228205440 = 2732539619
BaseRepresentation
bin11011001101000…
…10001110000000
3120220102001000100
431212202032000
5431410033230
634351122400
75440466661
oct1546421600
9526361010
10228205440
111078a8141
1264513400
1338381508
1422445368
151507b660
hexd9a2380

228205440 has 96 divisors (see below), whose sum is σ = 788041800. Its totient is φ = 60853248.

The previous prime is 228205403. The next prime is 228205441. The reversal of 228205440 is 44502822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14050 + ... + 25569.

Almost surely, 2228205440 is an apocalyptic number.

228205440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228205440 is an abundant number, since it is smaller than the sum of its proper divisors (559836360).

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

228205440 is a wasteful number, since it uses less digits than its factorization.

228205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39644 (or 39629 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 228205440 is about 15106.4701369976. The cubic root of 228205440 is about 611.0949071430.

The spelling of 228205440 in words is "two hundred twenty-eight million, two hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 39619 79238 118857 158476 198095 237714 316952 356571 396190 475428 594285 633904 713142 792380 950856 1188570 1267808 1426284 1584760 1782855 1901712 2377140 2535616 2852568 3169520 3565710 3803424 4754280 5071232 5705136 6339040 7131420 7606848 9508560 11410272 12678080 14262840 15213696 19017120 22820544 25356160 28525680 38034240 45641088 57051360 76068480 114102720 228205440