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2232202104 = 2333111994721
BaseRepresentation
bin1000010100001100…
…1011001101111000
312202120021121122000
42011003023031320
514032420431404
61005255501000
7106213255566
oct20503131570
95676247560
102232202104
11a46024530
12523687760
132975c7a62
14172660a36
15d0e7d339
hex850cb378

2232202104 has 128 divisors (see below), whose sum is σ = 6799680000. Its totient is φ = 672883200.

The previous prime is 2232202087. The next prime is 2232202139. The reversal of 2232202104 is 4012022322.

It is a super-3 number, since 3×22322021043 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470464 + ... + 475184.

It is an arithmetic number, because the mean of its divisors is an integer number (53122500).

Almost surely, 22232202104 is an apocalyptic number.

2232202104 is a gapful number since it is divisible by the number (24) 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 2232202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399840000).

2232202104 is an abundant number, since it is smaller than the sum of its proper divisors (4567477896).

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

2232202104 is a wasteful number, since it uses less digits than its factorization.

2232202104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2232202104 is about 47246.1861317927. The cubic root of 2232202104 is about 1306.9064591271.

Adding to 2232202104 its reverse (4012022322), we get a palindrome (6244224426).

The spelling of 2232202104 in words is "two billion, two hundred thirty-two million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 199 216 264 297 396 398 594 597 792 796 1188 1194 1592 1791 2189 2376 2388 3582 4378 4721 4776 5373 6567 7164 8756 9442 10746 13134 14163 14328 17512 18884 19701 21492 26268 28326 37768 39402 42489 42984 51931 52536 56652 59103 78804 84978 103862 113304 118206 127467 155793 157608 169956 207724 236412 254934 311586 339912 415448 467379 472824 509868 623172 934758 939479 1019736 1246344 1402137 1869516 1878958 2804274 2818437 3739032 3757916 5608548 5636874 7515832 8455311 10334269 11217096 11273748 16910622 20668538 22547496 25365933 31002807 33821244 41337076 50731866 62005614 67642488 82674152 93008421 101463732 124011228 186016842 202927464 248022456 279025263 372033684 558050526 744067368 1116101052 2232202104