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59022100220 = 22541599712577
BaseRepresentation
bin110110111101111111…
…011100011011111100
312122100100111100102212
4312331333130123330
51431334124201340
643040412235552
74156423400636
oct667577343374
9178310440385
1059022100220
1123038489526
12b53246bbb8
135747c8a375
142bdca59a56
151806989a65
hexdbdfdc6fc

59022100220 has 96 divisors (see below), whose sum is σ = 130463040960. Its totient is φ = 22407413760.

The previous prime is 59022100171. The next prime is 59022100243. The reversal of 59022100220 is 2200122095.

It is a congruent number.

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, 4686572 + ... + 4699148.

It is an arithmetic number, because the mean of its divisors is an integer number (1358990010).

Almost surely, 259022100220 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 59022100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65231520480).

59022100220 is an abundant number, since it is smaller than the sum of its proper divisors (71440940740).

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

59022100220 is a wasteful number, since it uses less digits than its factorization.

59022100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12783 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 59022100220 in words is "fifty-nine billion, twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 59 82 97 118 164 194 205 236 295 388 410 485 590 820 970 1180 1940 2419 3977 4838 5723 7954 9676 11446 12095 12577 15908 19885 22892 24190 25154 28615 39770 48380 50308 57230 62885 79540 114460 125770 234643 251540 469286 515657 742043 938572 1031314 1173215 1219969 1484086 2062628 2346430 2439938 2578285 2968172 3710215 4692860 4879876 5156570 6099845 7420430 10313140 12199690 14840860 24399380 30423763 50018729 60847526 71978171 100037458 121695052 143956342 152118815 200074916 250093645 287912684 304237630 359890855 500187290 608475260 719781710 1000374580 1439563420 2951105011 5902210022 11804420044 14755525055 29511050110 59022100220