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202440233424 = 2431113198714843
BaseRepresentation
bin1011110010001001100…
…0001101000111010000
3201100112102000101110010
42330202120031013100
511304044144432144
6232555540434520
720424441410112
oct2744230150720
9640472011403
10202440233424
1178944263740
12332989a8a40
1316122a53990
149b262153b2
1553ec7e65b9
hex2f2260d1d0

202440233424 has 160 divisors (see below), whose sum is σ = 614749653504. Its totient is φ = 56594327040.

The previous prime is 202440233419. The next prime is 202440233453. The reversal of 202440233424 is 424332044202.

It is a junction number, because it is equal to n+sod(n) for n = 202440233391 and 202440233400.

It is a congruent number.

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, 13631347 + ... + 13646189.

Almost surely, 2202440233424 is an apocalyptic number.

202440233424 is a gapful number since it is divisible by the number (24) 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 202440233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307374826752).

202440233424 is an abundant number, since it is smaller than the sum of its proper divisors (412309420080).

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

202440233424 is a wasteful number, since it uses less digits than its factorization.

202440233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16865 (or 16859 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 202440233424 its reverse (424332044202), we get a palindrome (626772277626).

The spelling of 202440233424 in words is "two hundred two billion, four hundred forty million, two hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 1987 2288 3432 3974 5961 6864 7948 11922 14843 15896 21857 23844 25831 29686 31792 43714 44529 47688 51662 59372 65571 77493 87428 89058 95376 103324 118744 131142 154986 163273 174856 178116 192959 206648 237488 262284 284141 309972 326546 349712 356232 385918 413296 489819 524568 568282 578877 619944 653092 712464 771836 852423 979638 1049136 1136564 1157754 1239888 1306184 1543672 1704846 1959276 2122549 2273128 2315508 2612368 3087344 3409692 3918552 4245098 4546256 4631016 6367647 6819384 7837104 8490196 9262032 12735294 13638768 16980392 25470588 29493041 33960784 50941176 58986082 88479123 101882352 117972164 176958246 235944328 324423451 353916492 383409533 471888656 648846902 707832984 766819066 973270353 1150228599 1297693804 1415665968 1533638132 1946540706 2300457198 2595387608 3067276264 3893081412 4217504863 4600914396 5190775216 6134552528 7786162824 8435009726 9201828792 12652514589 15572325648 16870019452 18403657584 25305029178 33740038904 50610058356 67480077808 101220116712 202440233424