Search a number
-
+
1000222002 = 232136179887
BaseRepresentation
bin111011100111100…
…010110100110010
32120201002112122100
4323213202310302
54022024101002
6243130121230
733533514063
oct7347426462
92521075570
101000222002
1147366565a
1223ab80216
1312c2b7250
1496ba856a
155cc2711c
hex3b9e2d32

1000222002 has 96 divisors (see below), whose sum is σ = 2404846080. Its totient is φ = 298546560.

The previous prime is 1000221967. The next prime is 1000222033. The reversal of 1000222002 is 2002220001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127203 + ... + 1128089.

It is an arithmetic number, because the mean of its divisors is an integer number (25050480).

Almost surely, 21000222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202423040).

1000222002 is an abundant number, since it is smaller than the sum of its proper divisors (1404624078).

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

1000222002 is a wasteful number, since it uses less digits than its factorization.

1000222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1000222002 is about 31626.2865667154. The cubic root of 1000222002 is about 1000.0739951912.

Adding to 1000222002 its reverse (2002220001), we get a palindrome (3002442003).

The spelling of 1000222002 in words is "one billion, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 79 117 122 158 183 234 237 366 474 549 711 793 887 1027 1098 1422 1586 1774 2054 2379 2661 3081 4758 4819 5322 6162 7137 7983 9243 9638 11531 14274 14457 15966 18486 23062 28914 34593 43371 54107 62647 69186 70073 86742 103779 108214 125294 140146 162321 187941 207558 210219 324642 375882 420438 486963 563823 630657 703391 910949 973926 1127646 1261314 1406782 1821898 2110173 2732847 4220346 4274453 5465694 6330519 8198541 8548906 12661038 12823359 16397082 25646718 38470077 55567889 76940154 111135778 166703667 333407334 500111001 1000222002