Search a number
-
+
338538045222 = 232137120376673
BaseRepresentation
bin1001110110100100111…
…00001001111100100110
31012100211022001120022100
410323102130021330212
521021311214421342
6415304445112530
733313200622326
oct4732234117446
91170738046270
10338538045222
111206339a0053
125573b858746
1325c0204ca70
14125574b1286
158c15b63e4c
hex4ed2709f26

338538045222 has 48 divisors (see below), whose sum is σ = 801047808288. Its totient is φ = 102698426880.

The previous prime is 338538045217. The next prime is 338538045247. The reversal of 338538045222 is 222540835833.

338538045222 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 380 + 45 + 222 = 666.

338538045222 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3385380452222 (a number of 24 digits) contains 22 as substring.

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, 10171723 + ... + 10204950.

It is an arithmetic number, because the mean of its divisors is an integer number (16688496006).

Almost surely, 2338538045222 is an apocalyptic number.

338538045222 is an abundant number, since it is smaller than the sum of its proper divisors (462509763066).

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

338538045222 is a wasteful number, since it uses less digits than its factorization.

338538045222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376765 (or 20376762 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 338538045222 in words is "three hundred thirty-eight billion, five hundred thirty-eight million, forty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 5538 8307 16614 20376673 40753346 61130019 122260038 183390057 264896749 366780114 529793498 794690247 1446743783 1589380494 2384070741 2893487566 4340231349 4768141482 8680462698 13020694047 18807669179 26041388094 37615338358 56423007537 112846015074 169269022611 338538045222