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199768448 = 2711532677
BaseRepresentation
bin10111110100000…
…11100110000000
3111220220021210102
423322003212000
5402120042243
631453421532
74644001205
oct1372034600
9456807712
10199768448
11a2844aa0
1256a9a8a8
1332505aa9
141c761cac
15128109b8
hexbe83980

199768448 has 64 divisors (see below), whose sum is σ = 442512720. Its totient is φ = 89057280.

The previous prime is 199768403. The next prime is 199768469. The reversal of 199768448 is 844867991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 199768393 and 199768402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73286 + ... + 75962.

Almost surely, 2199768448 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 199768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221256360).

199768448 is an abundant number, since it is smaller than the sum of its proper divisors (242744272).

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

199768448 is a wasteful number, since it uses less digits than its factorization.

199768448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2743 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 56.

The square root of 199768448 is about 14133.9466533591. The cubic root of 199768448 is about 584.5777731041.

The spelling of 199768448 in words is "one hundred ninety-nine million, seven hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 848 1166 1408 1696 2332 2677 3392 4664 5354 6784 9328 10708 18656 21416 29447 37312 42832 58894 74624 85664 117788 141881 171328 235576 283762 342656 471152 567524 942304 1135048 1560691 1884608 2270096 3121382 3769216 4540192 6242764 9080384 12485528 18160768 24971056 49942112 99884224 199768448