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2193923952 = 2432112236211
BaseRepresentation
bin1000001011000100…
…1001111101110000
312122220020212212200
42002301021331300
513443121031302
61001411223200
7105240021513
oct20261117560
95586225780
102193923952
11a2645a5a0
125128a7b00
1328c6b4b6c
1416b538d7a
15cc91b81c
hex82c49f70

2193923952 has 120 divisors (see below), whose sum is σ = 6729235968. Its totient is φ = 661737600.

The previous prime is 2193923929. The next prime is 2193924067. The reversal of 2193923952 is 2593293912.

It is a junction number, because it is equal to n+sod(n) for n = 2193923898 and 2193923907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350127 + ... + 356337.

Almost surely, 22193923952 is an apocalyptic number.

2193923952 is a gapful number since it is divisible by the number (22) 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 2193923952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364617984).

2193923952 is an abundant number, since it is smaller than the sum of its proper divisors (4535312016).

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

2193923952 is a wasteful number, since it uses less digits than its factorization.

2193923952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6450 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 2193923952 is about 46839.3419253516. The cubic root of 2193923952 is about 1299.3930010409.

The spelling of 2193923952 in words is "two billion, one hundred ninety-three million, nine hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 223 264 396 446 528 669 792 892 1338 1584 1784 2007 2453 2676 3568 4014 4906 5352 6211 7359 8028 9812 10704 12422 14718 16056 18633 19624 22077 24844 29436 32112 37266 39248 44154 49688 55899 58872 68321 74532 88308 99376 111798 117744 136642 149064 176616 204963 223596 273284 298128 353232 409926 447192 546568 614889 819852 894384 1093136 1229778 1385053 1639704 2459556 2770106 3279408 4155159 4919112 5540212 8310318 9838224 11080424 12465477 15235583 16620636 22160848 24930954 30471166 33241272 45706749 49861908 60942332 66482544 91413498 99723816 121884664 137120247 182826996 199447632 243769328 274240494 365653992 548480988 731307984 1096961976 2193923952