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220401233223234 = 23719716436049811
BaseRepresentation
bin110010000111010000101001…
…001101101101111001000010
31001220101011002220012011110120
4302013100221031231321002
5212342023211201120414
62100430532340041110
764265315010430440
oct6207205115557102
91056334086164416
10220401233223234
1164254702340638
122087729b093196
1395c999353852b
143c5d695b41b90
151a7321dc1d2a9
hexc8742936de42

220401233223234 has 128 divisors (see below), whose sum is σ = 538593951006720. Its totient is φ = 58725747662400.

The previous prime is 220401233223221. The next prime is 220401233223263. The reversal of 220401233223234 is 432322332104022.

It is a junction number, because it is equal to n+sod(n) for n = 220401233223195 and 220401233223204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33406189 + ... + 39455999.

It is an arithmetic number, because the mean of its divisors is an integer number (4207765242240).

Almost surely, 2220401233223234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220401233223234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269296975503360).

220401233223234 is an abundant number, since it is smaller than the sum of its proper divisors (318192717783486).

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

220401233223234 is a wasteful number, since it uses less digits than its factorization.

220401233223234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050556.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 220401233223234 its reverse (432322332104022), we get a palindrome (652723565327256).

The spelling of 220401233223234 in words is "two hundred twenty trillion, four hundred one billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 71 114 133 142 213 266 399 426 497 643 798 994 1286 1349 1491 1929 2698 2982 3858 4047 4501 8094 9002 9443 12217 13503 18886 24434 27006 28329 36651 45653 56658 73302 85519 91306 136959 171038 256557 273918 319571 513114 639142 867407 958713 1734814 1917426 2602221 5204442 6049811 6071849 12099622 12143698 18149433 18215547 36298866 36431094 42348677 84697354 114946409 127046031 229892818 254092062 344839227 429536581 689678454 804624863 859073162 1288609743 1609249726 2413874589 2577219486 3006756067 3890028473 4827749178 6013512134 7780056946 8161195039 9020268201 11670085419 16322390078 18040536402 23340170838 24483585117 27230199311 48967170234 54460398622 57128365273 73910540987 81690597933 114256730546 147821081974 163381195866 171385095819 221731622961 276192021583 342770191638 443463245922 517373786909 552384043166 828576064749 1034747573818 1552121360727 1657152129498 1933344151081 3104242721454 3866688302162 5247648410077 5800032453243 10495296820154 11600064906486 15742945230231 31485890460462 36733538870539 73467077741078 110200616611617 220401233223234