Search a number
-
+
2100146634 = 2322294671091
BaseRepresentation
bin111110100101101…
…1011000111001010
312102100210111120200
41331023123013022
513300114143014
6544221233030
7103020644325
oct17513330712
95370714520
102100146634
11988529283
124a7402776
1327613c821
1415ccc77bc
15c4595a09
hex7d2db1ca

2100146634 has 48 divisors (see below), whose sum is σ = 4584172320. Its totient is φ = 694861920.

The previous prime is 2100146611. The next prime is 2100146647. The reversal of 2100146634 is 4366410012.

2100146634 is a `hidden beast` number, since 2 + 10 + 0 + 14 + 6 + 634 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2100146598 and 2100146607.

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, 1924429 + ... + 1925519.

It is an arithmetic number, because the mean of its divisors is an integer number (95503590).

Almost surely, 22100146634 is an apocalyptic number.

2100146634 is an abundant number, since it is smaller than the sum of its proper divisors (2484025686).

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

2100146634 is a wasteful number, since it uses less digits than its factorization.

2100146634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2100146634 is about 45827.3568297365. The cubic root of 2100146634 is about 1280.6089700787.

Adding to 2100146634 its reverse (4366410012), we get a palindrome (6466556646).

The spelling of 2100146634 in words is "two billion, one hundred million, one hundred forty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 229 458 467 687 934 1091 1374 1401 2061 2182 2802 3273 4122 4203 6546 8406 9819 19638 106943 213886 249839 320829 499678 509497 641658 749517 962487 1018994 1499034 1528491 1924974 2248551 3056982 4497102 4585473 9170946 116674813 233349626 350024439 700048878 1050073317 2100146634