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232200213310320 = 24357198713439939
BaseRepresentation
bin110100110010111101010011…
…001110110010101101110000
31010110011010100002211122021020
4310302331103032302231300
5220413332014101412240
62141503145543455440
766623624514411063
oct6462752316625560
91113133302748236
10232200213310320
1167a93614a6a602
1222061b59757580
139c74503519188
14414a79bdca8da
151bca0d8da30d0
hexd32f533b2b70

232200213310320 has 80 divisors (see below), whose sum is σ = 719830714135680. Its totient is φ = 61919192119552.

The previous prime is 232200213310301. The next prime is 232200213310333. The reversal of 232200213310320 is 23013312002232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2322002133103202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10556911 + ... + 23996849.

It is an arithmetic number, because the mean of its divisors is an integer number (8997883926696).

Almost surely, 2232200213310320 is an apocalyptic number.

232200213310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232200213310320 is an abundant number, since it is smaller than the sum of its proper divisors (487630500825360).

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

232200213310320 is a wasteful number, since it uses less digits than its factorization.

232200213310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511942 (or 13511936 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 232200213310320 its reverse (23013312002232), we get a palindrome (255213525312552).

The spelling of 232200213310320 in words is "two hundred thirty-two trillion, two hundred billion, two hundred thirteen million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 71987 143974 215961 287948 359935 431922 575896 719870 863844 1079805 1151792 1439740 1727688 2159610 2879480 3455376 4319220 5758960 8638440 13439939 17276880 26879878 40319817 53759756 67199695 80639634 107519512 134399390 161279268 201599085 215039024 268798780 322558536 403198170 537597560 645117072 806396340 1075195120 1612792680 3225585360 967500888793 1935001777586 2902502666379 3870003555172 4837504443965 5805005332758 7740007110344 9675008887930 11610010665516 14512513331895 15480014220688 19350017775860 23220021331032 29025026663790 38700035551720 46440042662064 58050053327580 77400071103440 116100106655160 232200213310320