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22323013040 = 2451939371543
BaseRepresentation
bin10100110010100011…
…100010010110110000
32010121201200120001202
4110302203202112300
5331204142404130
614131031350332
71420120323446
oct246243422660
963551616052
1022323013040
119515839109
1243abb223a8
132149a49773
14111aa24b96
158a9b86145
hex5328e25b0

22323013040 has 80 divisors (see below), whose sum is σ = 52259446848. Its totient is φ = 8867708928.

The previous prime is 22323013007. The next prime is 22323013043. The reversal of 22323013040 is 4031032322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223230130403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22323013043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14466509 + ... + 14468051.

Almost surely, 222323013040 is an apocalyptic number.

22323013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22323013040 is an abundant number, since it is smaller than the sum of its proper divisors (29936433808).

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

22323013040 is a wasteful number, since it uses less digits than its factorization.

22323013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22323013040 its reverse (4031032322), we get a palindrome (26354045362).

The spelling of 22323013040 in words is "twenty-two billion, three hundred twenty-three million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 937 965 1543 1544 1874 1930 3086 3088 3748 3860 4685 6172 7496 7715 7720 9370 12344 14992 15430 15440 18740 24688 30860 37480 61720 74960 123440 180841 297799 361682 595598 723364 904205 1191196 1445791 1446728 1488995 1808410 2382392 2891582 2893456 2977990 3616820 4764784 5783164 5955980 7228955 7233640 11566328 11911960 14457910 14467280 23132656 23823920 28915820 57831640 115663280 279037663 558075326 1116150652 1395188315 2232301304 2790376630 4464602608 5580753260 11161506520 22323013040