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223345520144 = 241917911093701
BaseRepresentation
bin1101000000000001101…
…1100010111000010000
3210100111022222222121122
43100000123202320100
512124402423121034
6250334205341412
722064465411645
oct3200033427020
9710438888548
10223345520144
11867a17a5aaa
1237351b67868
13180a4b56416
14ab4a831dcc
155c22c8562e
hex34006e2e10

223345520144 has 80 divisors (see below), whose sum is σ = 458588952000. Its totient is φ = 105080947200.

The previous prime is 223345520131. The next prime is 223345520159. The reversal of 223345520144 is 441025543322.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60345494 + ... + 60349194.

It is an arithmetic number, because the mean of its divisors is an integer number (5732361900).

Almost surely, 2223345520144 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 223345520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229294476000).

223345520144 is an abundant number, since it is smaller than the sum of its proper divisors (235243431856).

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

223345520144 is a wasteful number, since it uses less digits than its factorization.

223345520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 223345520144 in words is "two hundred twenty-three billion, three hundred forty-five million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 179 304 358 716 1109 1432 2218 2864 3401 3701 4436 6802 7402 8872 13604 14804 17744 21071 27208 29608 42142 54416 59216 70319 84284 140638 168568 198511 281276 337136 397022 562552 662479 794044 1125104 1324958 1588088 2649916 3176176 3771709 4104409 5299832 7543418 8208818 10599664 12587101 15086836 16417636 25174202 30173672 32835272 50348404 60347344 65670544 77983771 100696808 155967542 201393616 311935084 623870168 734689211 1247740336 1469378422 2938756844 5877513688 11755027376 13959095009 27918190018 55836380036 111672760072 223345520144