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235230236040 = 233589109202067
BaseRepresentation
bin1101101100010011010…
…0001000110110001000
3211111011121012002220110
43123010310020312020
512323222420023130
6300021400154320
722665140005302
oct3330464106610
9744147162813
10235230236040
1190840376a58
123970a1689a0
131924a1556a7
14b557000972
1561bb332ab0
hex36c4d08d88

235230236040 has 128 divisors (see below), whose sum is σ = 720170352000. Its totient is φ = 61453928448.

The previous prime is 235230236029. The next prime is 235230236057. The reversal of 235230236040 is 40632032532.

It is a super-2 number, since 2×2352302360402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 235230235989 and 235230236007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063087 + ... + 1265153.

It is an arithmetic number, because the mean of its divisors is an integer number (5626330875).

Almost surely, 2235230236040 is an apocalyptic number.

235230236040 is a gapful number since it is divisible by the number (20) 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 235230236040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360085176000).

235230236040 is an abundant number, since it is smaller than the sum of its proper divisors (484940115960).

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

235230236040 is a wasteful number, since it uses less digits than its factorization.

235230236040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202279 (or 202275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 235230236040 its reverse (40632032532), we get a palindrome (275862268572).

The spelling of 235230236040 in words is "two hundred thirty-five billion, two hundred thirty million, two hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 109 120 178 218 267 327 356 436 445 534 545 654 712 872 890 1068 1090 1308 1335 1635 1780 2136 2180 2616 2670 3270 3560 4360 5340 6540 9701 10680 13080 19402 29103 38804 48505 58206 77608 97010 116412 145515 194020 202067 232824 291030 388040 404134 582060 606201 808268 1010335 1164120 1212402 1616536 2020670 2424804 3031005 4041340 4849608 6062010 8082680 12124020 17983963 22025303 24248040 35967926 44050606 53951889 66075909 71935852 88101212 89919815 107903778 110126515 132151818 143871704 176202424 179839630 215807556 220253030 264303636 269759445 330379545 359679260 431615112 440506060 528607272 539518890 660759090 719358520 881012120 1079037780 1321518180 1960251967 2158075560 2643036360 3920503934 5880755901 7841007868 9801259835 11761511802 15682015736 19602519670 23523023604 29403779505 39205039340 47046047208 58807559010 78410078680 117615118020 235230236040