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232122720648 = 233713263404119
BaseRepresentation
bin1101100000101110010…
…1111010000110001000
3211012011000211222011210
43120023211322012020
512300341404030043
6254345151253120
722525134366540
oct3301345720610
9735130758153
10232122720648
118a496251715
1238ba151a1a0
1318b733c89a0
14b34040c320
156088602633
hex360b97a188

232122720648 has 128 divisors (see below), whose sum is σ = 716941209600. Its totient is φ = 60986255616.

The previous prime is 232122720631. The next prime is 232122720671. The reversal of 232122720648 is 846027221232.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372333 + ... + 776451.

It is an arithmetic number, because the mean of its divisors is an integer number (5601103200).

Almost surely, 2232122720648 is an apocalyptic number.

232122720648 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 232122720648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358470604800).

232122720648 is an abundant number, since it is smaller than the sum of its proper divisors (484818488952).

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

232122720648 is a wasteful number, since it uses less digits than its factorization.

232122720648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404411 (or 404407 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 232122720648 in words is "two hundred thirty-two billion, one hundred twenty-two million, seven hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 263 273 312 364 526 546 728 789 1052 1092 1578 1841 2104 2184 3156 3419 3682 5523 6312 6838 7364 10257 11046 13676 14728 20514 22092 23933 27352 41028 44184 47866 71799 82056 95732 143598 191464 287196 404119 574392 808238 1212357 1616476 2424714 2828833 3232952 4849428 5253547 5657666 8486499 9698856 10507094 11315332 15760641 16972998 21014188 22630664 31521282 33945996 36774829 42028376 63042564 67891992 73549658 106283297 110324487 126085128 147099316 212566594 220648974 294198632 318849891 425133188 441297948 637699782 743983079 850266376 882595896 1275399564 1381682861 1487966158 2231949237 2550799128 2763365722 2975932316 4145048583 4463898474 5526731444 5951864632 8290097166 8927796948 9671780027 11053462888 16580194332 17855593896 19343560054 29015340081 33160388664 38687120108 58030680162 77374240216 116061360324 232122720648