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229368617564100 = 223527109223151221
BaseRepresentation
bin110100001001110000001010…
…111110001111011111000100
31010002010102111022212211122120
4310021300022332033133010
5220030433412044022400
62131454253243525540
766212223110606550
oct6411601276173704
91102112438784576
10229368617564100
11670a1758a95273
1221885211b298b0
139aca4a2169821
14408d700c62860
151b7b60dd4aca0
hexd09c0af8f7c4

229368617564100 has 72 divisors (see below), whose sum is σ = 758445562085568. Its totient is φ = 52427112585600.

The previous prime is 229368617563933. The next prime is 229368617564113. The reversal of 229368617564100 is 1465716863922.

It is a happy number.

229368617564100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54611573511 + ... + 54611577710.

It is a 1-persistent number, because it is pandigital, but 2⋅229368617564100 = 458737235128200 is not.

Almost surely, 2229368617564100 is an apocalyptic number.

229368617564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229368617564100 is an abundant number, since it is smaller than the sum of its proper divisors (529076944521468).

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

229368617564100 is a wasteful number, since it uses less digits than its factorization.

229368617564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109223151245 (or 109223151238 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 229368617564100 in words is "two hundred twenty-nine trillion, three hundred sixty-eight billion, six hundred seventeen million, five hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 109223151221 218446302442 327669453663 436892604884 546115756105 655338907326 764562058547 1092231512210 1310677814652 1529124117094 1638347268315 2184463024420 2293686175641 2730578780525 3058248234188 3276694536630 3822810292735 4587372351282 5461157561050 6553389073260 7645620585470 8191736341575 9174744702564 10922315122100 11468430878205 15291241170940 16383472683150 19114051463675 22936861756410 32766945366300 38228102927350 45873723512820 57342154391025 76456205854700 114684308782050 229368617564100