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228609696 = 25372232113
BaseRepresentation
bin11011010000001…
…00111010100000
3120221011120112210
431220010322200
5432011002241
634403522120
75444102400
oct1550047240
9527146483
10228609696
11108053937
1264689340
1338493513
142250c800
151510b316
hexda04ea0

228609696 has 144 divisors (see below), whose sum is σ = 728771904. Its totient is φ = 62447616.

The previous prime is 228609677. The next prime is 228609701. The reversal of 228609696 is 696906822.

228609696 = T391 + T392 + ... + T1126.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107136 + ... + 109248.

It is an arithmetic number, because the mean of its divisors is an integer number (5060916).

Almost surely, 2228609696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228609696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364385952).

228609696 is an abundant number, since it is smaller than the sum of its proper divisors (500162208).

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

228609696 is a wasteful number, since it uses less digits than its factorization.

228609696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 228609696 is about 15119.8444436443. The cubic root of 228609696 is about 611.4555369530.

The spelling of 228609696 in words is "two hundred twenty-eight million, six hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2113 2208 2254 2352 2576 3381 3864 4226 4508 4704 5152 6339 6762 7728 8452 9016 12678 13524 14791 15456 16904 18032 25356 27048 29582 33808 36064 44373 48599 50712 54096 59164 67616 88746 97198 101424 103537 108192 118328 145797 177492 194396 202848 207074 236656 291594 310611 340193 354984 388792 414148 473312 583188 621222 680386 709968 777584 828296 1020579 1166376 1242444 1360772 1419936 1555168 1656592 2041158 2332752 2381351 2484888 2721544 3313184 4082316 4665504 4762702 4969776 5443088 7144053 8164632 9525404 9939552 10886176 14288106 16329264 19050808 28576212 32658528 38101616 57152424 76203232 114304848 228609696