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36227412 = 2235134761
BaseRepresentation
bin1000101000110…
…0100101010100
32112011112200000
42022030211110
533233234122
63332251300
7616633164
oct212144524
975145600
1036227412
11194a4211
1210170b30
137675650
144b505a4
1532a90ac
hex228c954

36227412 has 144 divisors (see below), whose sum is σ = 106159872. Its totient is φ = 10730880.

The previous prime is 36227407. The next prime is 36227417. The reversal of 36227412 is 21472263.

It is an interprime number because it is at equal distance from previous prime (36227407) and next prime (36227417).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36227417) 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, 593862 + ... + 593922.

Almost surely, 236227412 is an apocalyptic number.

36227412 is the 3807-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36227412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53079936).

36227412 is an abundant number, since it is smaller than the sum of its proper divisors (69932460).

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

36227412 is a wasteful number, since it uses less digits than its factorization.

36227412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 36227412 is about 6018.9211657904. The cubic root of 36227412 is about 330.8865418011.

Adding to 36227412 its reverse (21472263), we get a palindrome (57699675).

The spelling of 36227412 in words is "thirty-six million, two hundred twenty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 61 78 81 94 108 117 122 141 156 162 183 188 234 243 244 282 324 351 366 423 468 486 549 564 611 702 732 793 846 972 1053 1098 1222 1269 1404 1586 1647 1692 1833 2106 2196 2379 2444 2538 2867 3159 3172 3294 3666 3807 4212 4758 4941 5076 5499 5734 6318 6588 7137 7332 7614 8601 9516 9882 10998 11421 11468 12636 14274 14823 15228 16497 17202 19764 21411 21996 22842 25803 28548 29646 32994 34404 37271 42822 45684 49491 51606 59292 64233 65988 74542 77409 85644 98982 103212 111813 128466 148473 149084 154818 192699 197964 223626 232227 256932 296946 309636 335439 385398 447252 464454 593892 670878 696681 770796 928908 1006317 1341756 1393362 2012634 2786724 3018951 4025268 6037902 9056853 12075804 18113706 36227412