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228643876067900 = 225217197078757773
BaseRepresentation
bin110011111111001101001101…
…000000110101101000111100
31002222120010210211220012122112
4303333031031000311220330
5214432100124233133100
62130141314022233152
766105655252542206
oct6377151500655074
91088503724805575
10228643876067900
1166942361341357
122178886b5857b8
139a77042bc5607
1440665cba65776
151b67842b34b35
hexcff34d035a3c

228643876067900 has 72 divisors (see below), whose sum is σ = 552992557304880. Its totient is φ = 81547289533440.

The previous prime is 228643876067837. The next prime is 228643876067909. The reversal of 228643876067900 is 9760678346822.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228643876067909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3539346587 + ... + 3539411186.

It is an arithmetic number, because the mean of its divisors is an integer number (7680452184790).

Almost surely, 2228643876067900 is an apocalyptic number.

228643876067900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228643876067900 is an abundant number, since it is smaller than the sum of its proper divisors (324348681236980).

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

228643876067900 is a wasteful number, since it uses less digits than its factorization.

228643876067900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078757823 (or 7078757816 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 68.

The spelling of 228643876067900 in words is "two hundred twenty-eight trillion, six hundred forty-three billion, eight hundred seventy-six million, sixty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 7078757773 14157515546 28315031092 35393788865 70787577730 120338882141 134496397687 141575155460 176968944325 240677764282 268992795374 353937888650 481355528564 537985590748 601694410705 672481988435 707875777300 1203388821410 1344963976870 2286438760679 2406777642820 2689927953740 3008472053525 3362409942175 4572877521358 6016944107050 6724819884350 9145755042716 11432193803395 12033888214100 13449639768700 22864387606790 45728775213580 57160969016975 114321938033950 228643876067900