Search a number
-
+
3222535356 = 223219113173241
BaseRepresentation
bin1100000000010011…
…1111110010111100
322022120202202110100
43000010333302330
523044432112411
61251434041100
7142600045545
oct30004776274
98276682410
103222535356
111404045567
1275b279190
133c482bc71
14227db34cc
1513cda0456
hexc013fcbc

3222535356 has 144 divisors (see below), whose sum is σ = 8736567840. Its totient is φ = 998645760.

The previous prime is 3222535333. The next prime is 3222535397. The reversal of 3222535356 is 6535352223.

3222535356 is a `hidden beast` number, since 32 + 225 + 353 + 56 = 666.

3222535356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3222535356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13371396 + ... + 13371636.

It is an arithmetic number, because the mean of its divisors is an integer number (60670610).

Almost surely, 23222535356 is an apocalyptic number.

3222535356 is a gapful number since it is divisible by the number (36) 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 3222535356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368283920).

3222535356 is an abundant number, since it is smaller than the sum of its proper divisors (5514032484).

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

3222535356 is a wasteful number, since it uses less digits than its factorization.

3222535356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 3222535356 is about 56767.3793300343. The cubic root of 3222535356 is about 1477.0637175440.

Adding to 3222535356 its reverse (6535352223), we get a palindrome (9757887579).

The spelling of 3222535356 in words is "three billion, two hundred twenty-two million, five hundred thirty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 173 226 228 241 339 342 346 452 482 519 678 684 692 723 964 1017 1038 1356 1446 1557 2034 2076 2147 2169 2892 3114 3287 4068 4294 4338 4579 6228 6441 6574 8588 8676 9158 9861 12882 13148 13737 18316 19323 19549 19722 25764 27233 27474 29583 38646 39098 39444 41211 41693 54466 54948 58647 59166 77292 78196 81699 82422 83386 108932 117294 118332 125079 163398 164844 166772 175941 234588 245097 250158 326796 351882 371431 375237 490194 500316 517427 703764 742862 750474 792167 980388 1034854 1114293 1485724 1500948 1552281 1584334 2069708 2228586 2376501 3104562 3168668 3342879 4457172 4656843 4711309 4753002 6209124 6685758 7129503 9313686 9422618 9506004 13371516 14133927 14259006 18627372 18845236 28267854 28518012 42401781 56535708 84803562 89514871 169607124 179029742 268544613 358059484 537089226 805633839 1074178452 1611267678 3222535356