Search a number
-
+
22380336819 = 32311093731973
BaseRepresentation
bin10100110101111110…
…001101011010110011
32010202201112220111200
4110311332031122303
5331313331234234
614140440142243
71421414503251
oct246576153263
963681486450
1022380336819
119545131335
124407167983
13215889a569
1411244a75d1
158aec0ad99
hex535f8d6b3

22380336819 has 48 divisors (see below), whose sum is σ = 33783509760. Its totient is φ = 14260872960.

The previous prime is 22380336809. The next prime is 22380336833. The reversal of 22380336819 is 91863308322.

22380336819 is a `hidden beast` number, since 2 + 238 + 0 + 336 + 81 + 9 = 666.

It is not a de Polignac number, because 22380336819 - 216 = 22380271283 is a prime.

It is a super-2 number, since 2×223803368192 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22380336809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11342317 + ... + 11344289.

It is an arithmetic number, because the mean of its divisors is an integer number (703823120).

Almost surely, 222380336819 is an apocalyptic number.

22380336819 is a deficient number, since it is larger than the sum of its proper divisors (11403172941).

22380336819 is a wasteful number, since it uses less digits than its factorization.

22380336819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 22380336819 in words is "twenty-two billion, three hundred eighty million, three hundred thirty-six thousand, eight hundred nineteen".

Divisors: 1 3 9 31 93 109 279 327 373 981 1119 1973 3357 3379 5919 10137 11563 17757 30411 34689 40657 61163 104067 121971 183489 215057 365913 550467 645171 735929 1260367 1935513 2207787 3781101 6623361 6666767 11343303 20000301 22813799 60000903 68441397 80216261 205324191 240648783 721946349 2486704091 7460112273 22380336819