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232122413000 = 2353892608117
BaseRepresentation
bin1101100000101110010…
…0101110111111001000
3211012011000021100011102
43120023210232333020
512300341314204000
6254345140520532
722525131645602
oct3301344567710
9735130240142
10232122413000
118a496061565
1238ba13b0148
1318b7331b94a
14b34036c172
1560885913d5
hex360b92efc8

232122413000 has 64 divisors (see below), whose sum is σ = 549269650800. Its totient is φ = 91805683200.

The previous prime is 232122412997. The next prime is 232122413041. The reversal of 232122413000 is 314221232.

It can be written as a sum of positive squares in 8 ways, for example, as 5007260644 + 227115152356 = 70762^2 + 476566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1215059 + ... + 1393058.

Almost surely, 2232122413000 is an apocalyptic number.

232122413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232122413000 is an abundant number, since it is smaller than the sum of its proper divisors (317147237800).

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

232122413000 is a wasteful number, since it uses less digits than its factorization.

232122413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608227 (or 2608213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232122413000 its reverse (314221232), we get a palindrome (232436634232).

The spelling of 232122413000 in words is "two hundred thirty-two billion, one hundred twenty-two million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 17800 22250 44500 89000 2608117 5216234 10432468 13040585 20864936 26081170 52162340 65202925 104324680 130405850 232122413 260811700 326014625 464244826 521623400 652029250 928489652 1160612065 1304058500 1856979304 2321224130 2608117000 4642448260 5803060325 9284896520 11606120650 23212241300 29015301625 46424482600 58030603250 116061206500 232122413000