Search a number
-
+
2214444413340 = 2232521767565189
BaseRepresentation
bin100000001110010111001…
…011000011000110011100
321211200212102211202112100
4200032113023003012130
5242240140232211330
64413145101005100
7315662665641225
oct40162713030634
97750772752470
102214444413340
11784160160575
122b9210b53790
13130a8a284293
147927309024c
153c9095bd060
hex203972c319c

2214444413340 has 72 divisors (see below), whose sum is σ = 6717468532320. Its totient is φ = 590490336384.

The previous prime is 2214444413303. The next prime is 2214444413417. The reversal of 2214444413340 is 433144444122.

2214444413340 is a `hidden beast` number, since 2 + 2 + 1 + 44 + 444 + 133 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214444413295 and 2214444413304.

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, 3635466 + ... + 4200654.

It is an arithmetic number, because the mean of its divisors is an integer number (93298174060).

Almost surely, 22214444413340 is an apocalyptic number.

2214444413340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214444413340 is an abundant number, since it is smaller than the sum of its proper divisors (4503024118980).

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

2214444413340 is a wasteful number, since it uses less digits than its factorization.

2214444413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586971 (or 586966 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2214444413340 its reverse (433144444122), we get a palindrome (2647588857462).

The spelling of 2214444413340 in words is "two trillion, two hundred fourteen billion, four hundred forty-four million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21767 43534 65301 87068 108835 130602 195903 217670 261204 326505 391806 435340 565189 653010 783612 979515 1130378 1306020 1695567 1959030 2260756 2825945 3391134 3918060 5086701 5651890 6782268 8477835 10173402 11303780 16955670 20346804 25433505 33911340 50867010 101734020 12302468963 24604937926 36907406889 49209875852 61512344815 73814813778 110722220667 123024689630 147629627556 184537034445 221444441334 246049379260 369074068890 442888882668 553611103335 738148137780 1107222206670 2214444413340