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228428615856 = 243743103153499
BaseRepresentation
bin1101010010111101101…
…0000001000010110000
3210211121120202000001210
43110233122001002300
512220310211201411
6252534430000120
722334450124660
oct3245732010260
9724546660053
10228428615856
118896aaa9051
1238330346040
1318704c8a46c
14b0ad9641a0
155e1e152ca6
hex352f6810b0

228428615856 has 160 divisors (see below), whose sum is σ = 696796672000. Its totient is φ = 63128201472.

The previous prime is 228428615819. The next prime is 228428615861. The reversal of 228428615856 is 658516824822.

It is a super-2 number, since 2×2284286158562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228428615796 and 228428615805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411395 + ... + 1564893.

It is an arithmetic number, because the mean of its divisors is an integer number (4354979200).

Almost surely, 2228428615856 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 228428615856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348398336000).

228428615856 is an abundant number, since it is smaller than the sum of its proper divisors (468368056144).

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

228428615856 is a wasteful number, since it uses less digits than its factorization.

228428615856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153663 (or 153657 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 57.

The spelling of 228428615856 in words is "two hundred twenty-eight billion, four hundred twenty-eight million, six hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 103 112 129 168 172 206 258 301 309 336 344 412 516 602 618 688 721 824 903 1032 1204 1236 1442 1648 1806 2064 2163 2408 2472 2884 3612 4326 4429 4816 4944 5768 7224 8652 8858 11536 13287 14448 17304 17716 26574 31003 34608 35432 53148 62006 70864 93009 106296 124012 153499 186018 212592 248024 306998 372036 460497 496048 613996 744072 920994 1074493 1227992 1488144 1841988 2148986 2455984 3223479 3683976 4297972 6446958 6600457 7367952 8595944 12893916 13200914 15810397 17191888 19801371 25787832 26401828 31620794 39602742 46203199 47431191 51575664 52803656 63241588 79205484 92406398 94862382 105607312 110672779 126483176 138609597 158410968 184812796 189724764 221345558 252966352 277219194 316821936 332018337 369625592 379449528 442691116 554438388 664036674 679847071 739251184 758899056 885382232 1108876776 1328073348 1359694142 1770764464 2039541213 2217753552 2656146696 2719388284 4079082426 4758929497 5312293392 5438776568 8158164852 9517858994 10877553136 14276788491 16316329704 19035717988 28553576982 32632659408 38071435976 57107153964 76142871952 114214307928 228428615856