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231155223032544 = 25331237301327319
BaseRepresentation
bin110100100011110000000100…
…111101001111001011100000
31010022110020000221021022002220
4310203300010331033023200
5220244221344044020134
62135343124331311040
766455261625535326
oct6443600475171340
91108406027238086
10231155223032544
116772041a21a068
1221b135205ab480
139bc9ac83647c5
144111d88725d16
151bacd279be149
hexd23c04f4f2e0

231155223032544 has 96 divisors (see below), whose sum is σ = 626360641320960. Its totient is φ = 74565658944000.

The previous prime is 231155223032521. The next prime is 231155223032551. The reversal of 231155223032544 is 445230322551132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2311552230325442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231155223032496 and 231155223032505.

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, 706044117 + ... + 706371435.

It is an arithmetic number, because the mean of its divisors is an integer number (6524590013760).

Almost surely, 2231155223032544 is an apocalyptic number.

231155223032544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231155223032544 is an abundant number, since it is smaller than the sum of its proper divisors (395205418288416).

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

231155223032544 is a wasteful number, since it uses less digits than its factorization.

231155223032544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564664 (or 564656 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 231155223032544 its reverse (445230322551132), we get a palindrome (676385545583676).

The spelling of 231155223032544 in words is "two hundred thirty-one trillion, one hundred fifty-five billion, two hundred twenty-three million, thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 237301 327319 474602 654638 711903 949204 981957 1309276 1423806 1898408 1963914 2618552 2847612 3796816 3927828 5237104 5695224 7356331 7593632 7855656 10146889 10474208 11390448 14712662 15711312 20293778 22068993 22780896 29425324 30440667 31422624 40587556 44137986 58850648 60881334 81175112 88275972 117701296 121762668 162350224 176551944 235402592 243525336 324700448 353103888 487050672 706207776 974101344 77673126019 155346252038 233019378057 310692504076 466038756114 621385008152 932077512228 1242770016304 1864155024456 2407866906589 2485540032608 3728310048912 4815733813178 7223600719767 7456620097824 9631467626356 14447201439534 19262935252712 28894402879068 38525870505424 57788805758136 77051741010848 115577611516272 231155223032544