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220097074368 = 2632373682751
BaseRepresentation
bin1100110011111011001…
…1101101010011000000
3210001002221110211202010
43030332303231103000
512101224322334433
6245040004052520
721621132156363
oct3147663552300
9701087424663
10220097074368
1185385073676
12367a6094140
13179a7b54a62
14a91d2360da
155ad29b7e63
hex333eced4c0

220097074368 has 112 divisors (see below), whose sum is σ = 615984316416. Its totient is φ = 69214464000.

The previous prime is 220097074343. The next prime is 220097074447. The reversal of 220097074368 is 863470790022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19008 + ... + 663743.

It is an arithmetic number, because the mean of its divisors is an integer number (5499859968).

Almost surely, 2220097074368 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 220097074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307992158208).

220097074368 is an abundant number, since it is smaller than the sum of its proper divisors (395887242048).

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

220097074368 is a wasteful number, since it uses less digits than its factorization.

220097074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682862 (or 682852 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 220097074368 in words is "two hundred twenty billion, ninety-seven million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 73 92 96 138 146 184 192 219 276 292 368 438 552 584 736 876 1104 1168 1472 1679 1752 2208 2336 3358 3504 4416 4672 5037 6716 7008 10074 13432 14016 20148 26864 40296 53728 80592 107456 161184 322368 682751 1365502 2048253 2731004 4096506 5462008 8193012 10924016 15703273 16386024 21848032 31406546 32772048 43696064 47109819 49840823 62813092 65544096 94219638 99681646 125626184 131088192 149522469 188439276 199363292 251252368 299044938 376878552 398726584 502504736 598089876 753757104 797453168 1005009472 1146338929 1196179752 1507514208 1594906336 2292677858 2392359504 3015028416 3189812672 3439016787 4585355716 4784719008 6878033574 9170711432 9569438016 13756067148 18341422864 27512134296 36682845728 55024268592 73365691456 110048537184 220097074368