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87222036 = 223111747827
BaseRepresentation
bin1010011001011…
…10011100010100
320002010100010210
411030232130110
5134312101121
612353245420
72106242436
oct514563424
9202110123
1087222036
1145264230
1225263870
13150bb695
14b826656
1579cd876
hex532e714

87222036 has 96 divisors (see below), whose sum is σ = 240371712. Its totient is φ = 24317440.

The previous prime is 87222029. The next prime is 87222059. The reversal of 87222036 is 63022278.

It is a junction number, because it is equal to n+sod(n) for n = 87221994 and 87222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105055 + ... + 105881.

It is an arithmetic number, because the mean of its divisors is an integer number (2503872).

Almost surely, 287222036 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 87222036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120185856).

87222036 is an abundant number, since it is smaller than the sum of its proper divisors (153149676).

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

87222036 is a wasteful number, since it uses less digits than its factorization.

87222036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 87222036 is about 9339.2738475751. The cubic root of 87222036 is about 443.4813967667.

The spelling of 87222036 in words is "eighty-seven million, two hundred twenty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 47 51 66 68 94 102 132 141 187 188 204 282 374 517 561 564 748 799 827 1034 1122 1551 1598 1654 2068 2244 2397 2481 3102 3196 3308 4794 4962 6204 8789 9097 9588 9924 14059 17578 18194 26367 27291 28118 35156 36388 38869 42177 52734 54582 56236 77738 84354 105468 109164 116607 154649 155476 168708 233214 309298 427559 463947 466428 618596 660773 855118 927894 1282677 1321546 1710236 1855788 1982319 2565354 2643092 3964638 5130708 7268503 7929276 14537006 21805509 29074012 43611018 87222036