Search a number
-
+
22736334072 = 23317232699007
BaseRepresentation
bin10101001011001100…
…001110110011111000
32011200112102102221010
4111023030032303320
5333031000142242
614240034313520
71433266436154
oct251314166370
964615372833
1022736334072
119708082341
1244a64288a0
1321b457341a
141159896064
158d10cb89c
hex54b30ecf8

22736334072 has 128 divisors (see below), whose sum is σ = 63041587200. Its totient is φ = 6796720128.

The previous prime is 22736334041. The next prime is 22736334073. The reversal of 22736334072 is 27043363722.

It is a self number, because there is not a number n which added to its sum of digits gives 22736334072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22736334073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519793 + ... + 2528799.

It is an arithmetic number, because the mean of its divisors is an integer number (492512400).

Almost surely, 222736334072 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 22736334072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31520793600).

22736334072 is an abundant number, since it is smaller than the sum of its proper divisors (40305253128).

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

22736334072 is a wasteful number, since it uses less digits than its factorization.

22736334072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

Adding to 22736334072 its reverse (27043363722), we get a palindrome (49779697794).

The spelling of 22736334072 in words is "twenty-two billion, seven hundred thirty-six million, three hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 269 276 391 408 538 552 782 807 1076 1173 1564 1614 2152 2346 3128 3228 4573 4692 6187 6456 9007 9146 9384 12374 13719 18014 18292 18561 24748 27021 27438 36028 36584 37122 49496 54042 54876 72056 74244 105179 108084 109752 148488 153119 207161 210358 216168 306238 315537 414322 420716 459357 612476 621483 631074 828644 841432 918714 1224952 1242966 1262148 1657288 1837428 2422883 2485932 2524296 3521737 3674856 4845766 4971864 7043474 7268649 9691532 10565211 14086948 14537298 19383064 21130422 28173896 29074596 41189011 42260844 55726309 58149192 82378022 84521688 111452618 123567033 164756044 167178927 222905236 247134066 329512088 334357854 445810472 494268132 668715708 947347253 988536264 1337431416 1894694506 2842041759 3789389012 5684083518 7578778024 11368167036 22736334072