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228003656640 = 2635823288583
BaseRepresentation
bin1101010001011000010…
…0111011001111000000
3210210111222002211121120
43110112010323033000
512213422414003030
6252424325352240
722321100050554
oct3242604731700
9723458084546
10228003656640
1188772135991
1238231b68680
1318667c1a3c6
14b06d343864
155de6bae010
hex351613b3c0

228003656640 has 112 divisors (see below), whose sum is σ = 724793722368. Its totient is φ = 60726887424.

The previous prime is 228003656609. The next prime is 228003656659. The reversal of 228003656640 is 46656300822.

It is a happy number.

It is a super-2 number, since 2×2280036566402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228003656592 and 228003656601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645789 + ... + 934371.

Almost surely, 2228003656640 is an apocalyptic number.

228003656640 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 228003656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362396861184).

228003656640 is an abundant number, since it is smaller than the sum of its proper divisors (496790065728).

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

228003656640 is a wasteful number, since it uses less digits than its factorization.

228003656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289426 (or 289416 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 228003656640 in words is "two hundred twenty-eight billion, three million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 823 960 1646 2469 3292 4115 4938 6584 8230 9876 12345 13168 16460 19752 24690 26336 32920 39504 49380 52672 65840 79008 98760 131680 158016 197520 263360 288583 395040 577166 790080 865749 1154332 1442915 1731498 2308664 2885830 3462996 4328745 4617328 5771660 6925992 8657490 9234656 11543320 13851984 17314980 18469312 23086640 27703968 34629960 46173280 55407936 69259920 92346560 138519840 237503809 277039680 475007618 712511427 950015236 1187519045 1425022854 1900030472 2375038090 2850045708 3562557135 3800060944 4750076180 5700091416 7125114270 7600121888 9500152360 11400182832 14250228540 15200243776 19000304720 22800365664 28500457080 38000609440 45600731328 57000914160 76001218880 114001828320 228003656640