Search a number
-
+
1015002252 = 223511591609
BaseRepresentation
bin111100011111111…
…011010010001100
32121201220110100000
4330133323102030
54034320033002
6244415004300
734103243145
oct7437732214
92551813300
101015002252
11480a40240
12243b09690
13132390864
1498b34acc
155e19661c
hex3c7fb48c

1015002252 has 144 divisors (see below), whose sum is σ = 2953641600. Its totient is φ = 302175360.

The previous prime is 1015002151. The next prime is 1015002281. The reversal of 1015002252 is 2522005101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 630024 + ... + 631632.

It is an arithmetic number, because the mean of its divisors is an integer number (20511400).

Almost surely, 21015002252 is an apocalyptic number.

1015002252 is a gapful number since it is divisible by the number (12) 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 1015002252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476820800).

1015002252 is an abundant number, since it is smaller than the sum of its proper divisors (1938639348).

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

1015002252 is a wasteful number, since it uses less digits than its factorization.

1015002252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1015002252 is about 31859.0999872878. The cubic root of 1015002252 is about 1004.9759495247.

Adding to 1015002252 its reverse (2522005101), we get a palindrome (3537007353).

The spelling of 1015002252 in words is "one billion, fifteen million, two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 81 99 108 118 132 162 177 198 236 243 297 324 354 396 486 531 594 649 708 891 972 1062 1188 1298 1593 1609 1782 1947 2124 2596 2673 3186 3218 3564 3894 4779 4827 5346 5841 6372 6436 7788 9558 9654 10692 11682 14337 14481 17523 17699 19116 19308 23364 28674 28962 35046 35398 43443 52569 53097 57348 57924 70092 70796 86886 94931 105138 106194 130329 157707 159291 173772 189862 210276 212388 260658 284793 315414 318582 379724 390987 477873 521316 569586 630828 637164 781974 854379 955746 1044241 1139172 1433619 1563948 1708758 1911492 2088482 2563137 2867238 3132723 3417516 4176964 4300857 5126274 5734476 6265446 7689411 8601714 9398169 10252548 12530892 15378822 17203428 18796338 23068233 28194507 30757644 37592676 46136466 56389014 84583521 92272932 112778028 169167042 253750563 338334084 507501126 1015002252