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228204640 = 25531139331
BaseRepresentation
bin11011001101000…
…10000001100000
3120220101222220201
431212202001200
5431410022030
634351114544
75440464436
oct1546420140
9526358821
10228204640
111078a7584
1264512a54
1338381041
1422444d56
151507b2ca
hexd9a2060

228204640 has 96 divisors (see below), whose sum is σ = 562222080. Its totient is φ = 87436800.

The previous prime is 228204623. The next prime is 228204659. The reversal of 228204640 is 46402822.

It is a junction number, because it is equal to n+sod(n) for n = 228204599 and 228204608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689275 + ... + 689605.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2228204640 is an apocalyptic number.

228204640 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 228204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111040).

228204640 is an abundant number, since it is smaller than the sum of its proper divisors (334017440).

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

228204640 is a wasteful number, since it uses less digits than its factorization.

228204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 228204640 is about 15106.4436582539. The cubic root of 228204640 is about 611.0941930548.

The spelling of 228204640 in words is "two hundred twenty-eight million, two hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 139 155 160 248 278 310 331 496 556 620 662 695 992 1112 1240 1324 1390 1655 2224 2480 2648 2780 3310 4309 4448 4960 5296 5560 6620 8618 10261 10592 11120 13240 17236 20522 21545 22240 26480 34472 41044 43090 46009 51305 52960 68944 82088 86180 92018 102610 137888 164176 172360 184036 205220 230045 328352 344720 368072 410440 460090 689440 736144 820880 920180 1426279 1472288 1641760 1840360 2852558 3680720 5705116 7131395 7361440 11410232 14262790 22820464 28525580 45640928 57051160 114102320 228204640