Search a number
-
+
221670036 = 223271967691
BaseRepresentation
bin11010011011001…
…10101010010100
3120110010000010100
431031212222110
5423221420121
633555054100
75331110220
oct1515465224
9513100110
10221670036
11104143a85
12622a1330
1336c03903
1421623780
15146da026
hexd366a94

221670036 has 144 divisors (see below), whose sum is σ = 685135360. Its totient is φ = 59019840.

The previous prime is 221670011. The next prime is 221670037. The reversal of 221670036 is 630076122.

It is a happy number.

221670036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221669991 and 221670009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221670037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320451 + ... + 321141.

Almost surely, 2221670036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221670036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342567680).

221670036 is an abundant number, since it is smaller than the sum of its proper divisors (463465324).

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

221670036 is a wasteful number, since it uses less digits than its factorization.

221670036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 221670036 is about 14888.5874413928. The cubic root of 221670036 is about 605.2047536819.

The spelling of 221670036 in words is "two hundred twenty-one million, six hundred seventy thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 67 76 84 114 126 133 134 171 201 228 252 266 268 342 399 402 469 532 603 684 691 798 804 938 1197 1206 1273 1382 1407 1596 1876 2073 2394 2412 2546 2764 2814 3819 4146 4221 4788 4837 5092 5628 6219 7638 8292 8442 8911 9674 11457 12438 13129 14511 15276 16884 17822 19348 22914 24876 26258 26733 29022 35644 39387 43533 45828 46297 52516 53466 58044 78774 80199 87066 91903 92594 106932 118161 138891 157548 160398 174132 183806 185188 236322 275709 277782 320796 324079 367612 416673 472644 551418 555564 648158 827127 833346 879643 972237 1102836 1296316 1654254 1666692 1759286 1944474 2638929 2916711 3308508 3518572 3888948 5277858 5833422 6157501 7916787 10555716 11666844 12315002 15833574 18472503 24630004 31667148 36945006 55417509 73890012 110835018 221670036