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223546630468 = 2272233113112211
BaseRepresentation
bin1101000000110001101…
…0101110000101000100
3210101000100102110010011
43100030122232011010
512130310414133333
6250410152040004
722102460002300
oct3201432560504
9711010373104
10223546630468
1186895277187
12373a9393004
131810770bc05
14ab69422d00
155c3575d9cd
hex340c6ae144

223546630468 has 144 divisors (see below), whose sum is σ = 493963481088. Its totient is φ = 87999912000.

The previous prime is 223546630453. The next prime is 223546630493. The reversal of 223546630468 is 864036645322.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18300883 + ... + 18313093.

It is an arithmetic number, because the mean of its divisors is an integer number (3430301952).

Almost surely, 2223546630468 is an apocalyptic number.

223546630468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223546630468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246981740544).

223546630468 is an abundant number, since it is smaller than the sum of its proper divisors (270416850620).

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

223546630468 is a wasteful number, since it uses less digits than its factorization.

223546630468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 223546630468 in words is "two hundred twenty-three billion, five hundred forty-six million, six hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 92 98 124 131 161 196 217 262 322 434 524 644 713 868 917 1127 1426 1519 1834 2254 2852 3013 3038 3668 4061 4508 4991 6026 6076 6419 8122 9982 12052 12211 12838 16244 19964 21091 24422 25676 28427 34937 42182 48844 56854 69874 84364 85477 93403 113708 139748 147637 170954 186806 198989 280853 295274 341908 373612 378541 397978 561706 590548 598339 653821 757082 795956 1123412 1196678 1307642 1514164 1599641 1965971 2393356 2615284 2649787 3199282 3931942 4576747 5299574 6398564 7863884 8706443 9153494 10599148 11197487 13761797 17412886 18306988 18548509 22394974 27523594 34825772 36791743 37097018 44789948 49588871 55047188 60945101 73583486 74194036 78382409 99177742 121890202 147166972 156764818 198355484 243780404 257542201 313529636 347122097 426615707 515084402 694244194 853231414 1030168804 1140544033 1388488388 1706462828 1802795407 2281088066 2429854679 3605590814 4562176132 4859709358 7211181628 7983808231 9719418716 15967616462 31935232924 55886657617 111773315234 223546630468