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1220333004 = 22321147173379
BaseRepresentation
bin100100010111100…
…1100110111001100
310011001021100011200
41020233030313030
54444401124004
6321031545500
742145442112
oct11057146714
93131240150
101220333004
11576934280
122a082b290
13165a93347
14b8103ab2
1572205239
hex48bccdcc

1220333004 has 144 divisors (see below), whose sum is σ = 3465745920. Its totient is φ = 358888320.

The previous prime is 1220332973. The next prime is 1220333029. The reversal of 1220333004 is 4003330221.

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, 3219687 + ... + 3220065.

It is an arithmetic number, because the mean of its divisors is an integer number (24067680).

Almost surely, 21220333004 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 1220333004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732872960).

1220333004 is an abundant number, since it is smaller than the sum of its proper divisors (2245412916).

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

1220333004 is a wasteful number, since it uses less digits than its factorization.

1220333004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1220333004 is about 34933.2650062945. The cubic root of 1220333004 is about 1068.6269411611.

Adding to 1220333004 its reverse (4003330221), we get a palindrome (5223663225).

The spelling of 1220333004 in words is "one billion, two hundred twenty million, three hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 173 188 198 282 346 379 396 423 517 519 564 692 758 846 1034 1038 1137 1516 1551 1557 1692 1903 2068 2076 2274 3102 3114 3411 3806 4169 4548 4653 5709 6204 6228 6822 7612 8131 8338 9306 11418 12507 13644 16262 16676 17127 17813 18612 22836 24393 25014 32524 34254 35626 37521 48786 50028 53439 65567 68508 71252 73179 75042 89441 97572 106878 131134 146358 150084 160317 178882 195943 196701 213756 262268 268323 292716 320634 357764 391886 393402 536646 587829 590103 641268 721237 783772 786804 804969 1073292 1175658 1180206 1442474 1609938 1763487 2163711 2351316 2360412 2884948 3081649 3219876 3526974 4327422 6163298 6491133 7053948 8654844 9244947 12326596 12982266 18489894 25964532 27734841 33898139 36979788 55469682 67796278 101694417 110939364 135592556 203388834 305083251 406777668 610166502 1220333004