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235313092242 = 23243226592
BaseRepresentation
bin1101101100100111000…
…0001101011010010010
3211111101101002122020200
43123021300031122102
512323410122422432
6300033520120030
723000164165464
oct3331160153222
9744341078220
10235313092242
1190883119058
1239731a66016
1319261375b27
14b56400c134
1561c374ca7c
hex36c9c0d692

235313092242 has 54 divisors (see below), whose sum is σ = 522174015207. Its totient is φ = 76584751992.

The previous prime is 235313092237. The next prime is 235313092243. The reversal of 235313092242 is 242290313532.

235313092242 is a `hidden beast` number, since 2 + 3 + 531 + 30 + 92 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117656546121 + 117656546121 = 343011^2 + 343011^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=343011.

It is a junction number, because it is equal to n+sod(n) for n = 235313092197 and 235313092206.

It is not an unprimeable number, because it can be changed into a prime (235313092243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88495509 + ... + 88498167.

Almost surely, 2235313092242 is an apocalyptic number.

235313092242 is an abundant number, since it is smaller than the sum of its proper divisors (286860922965).

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

235313092242 is an frugal number, since it uses more digits than its factorization.

235313092242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 235313092242 in words is "two hundred thirty-five billion, three hundred thirteen million, ninety-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 1849 2659 3698 5318 5547 7977 11094 15954 16641 23931 33282 47862 114337 228674 343011 686022 1029033 2058066 4916491 7070281 9832982 14140562 14749473 21210843 29498946 42421686 44248419 63632529 88496838 127265058 304022083 608044166 912066249 1824132498 2736198747 5472397494 13072949569 26145899138 39218848707 78437697414 117656546121 235313092242