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2181900528 = 243231215767
BaseRepresentation
bin1000001000001101…
…0010100011110000
312122001122000211200
42002003102203300
513432031304103
61000301411200
7105032564013
oct20203224360
95561560750
102181900528
11a1a698185
1250a869b00
1328a065302
14169ac937a
15cb8440a3
hex820d28f0

2181900528 has 90 divisors (see below), whose sum is σ = 6310022472. Its totient is φ = 703794240.

The previous prime is 2181900517. The next prime is 2181900557. The reversal of 2181900528 is 8250091812.

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

It is a junction number, because it is equal to n+sod(n) for n = 2181900492 and 2181900501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130501 + ... + 146267.

Almost surely, 22181900528 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 2181900528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155011236).

2181900528 is an abundant number, since it is smaller than the sum of its proper divisors (4128121944).

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

2181900528 is a wasteful number, since it uses less digits than its factorization.

2181900528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2181900528 is about 46710.8181045890. The cubic root of 2181900528 is about 1297.0149513983.

The spelling of 2181900528 in words is "two billion, one hundred eighty-one million, nine hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 15767 17298 23064 31534 34596 46128 47301 63068 69192 94602 126136 138384 141903 189204 252272 283806 378408 488777 567612 756816 977554 1135224 1466331 1955108 2270448 2932662 3910216 4398993 5865324 7820432 8797986 11730648 15152087 17595972 23461296 30304174 35191944 45456261 60608348 70383888 90912522 121216696 136368783 181825044 242433392 272737566 363650088 545475132 727300176 1090950264 2181900528