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2193816312 = 23344321831
BaseRepresentation
bin1000001011000010…
…1111101011111000
312122220001102020000
42002300233223320
513443104110222
61001405033000
7105236062632
oct20260575370
95586042200
102193816312
11a26396736
12512855760
1328c677b7c
1416b50ba52
15cc8e99ac
hex82c2faf8

2193816312 has 120 divisors (see below), whose sum is σ = 6294376440. Its totient is φ = 713875680.

The previous prime is 2193816301. The next prime is 2193816343. The reversal of 2193816312 is 2136183912.

2193816312 is a `hidden beast` number, since 2 + 19 + 3 + 8 + 1 + 631 + 2 = 666.

2193816312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1197237 + ... + 1199067.

It is an arithmetic number, because the mean of its divisors is an integer number (52453137).

Almost surely, 22193816312 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 2193816312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147188220).

2193816312 is an abundant number, since it is smaller than the sum of its proper divisors (4100560128).

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

2193816312 is a wasteful number, since it uses less digits than its factorization.

2193816312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1879 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2193816312 is about 46838.1928771809. The cubic root of 2193816312 is about 1299.3717500840.

The spelling of 2193816312 in words is "two billion, one hundred ninety-three million, eight hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 1831 1849 2322 3096 3483 3662 3698 4644 5493 5547 6966 7324 7396 9288 10986 11094 13932 14648 14792 16479 16641 21972 22188 27864 32958 33282 43944 44376 49437 49923 65916 66564 78733 98874 99846 131832 133128 148311 149769 157466 197748 199692 236199 296622 299538 314932 395496 399384 472398 593244 599076 629864 708597 944796 1186488 1198152 1417194 1889592 2125791 2834388 3385519 4251582 5668776 6377373 6771038 8503164 10156557 12754746 13542076 17006328 20313114 25509492 27084152 30469671 40626228 51018984 60939342 81252456 91409013 121878684 182818026 243757368 274227039 365636052 548454078 731272104 1096908156 2193816312