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22300253310 = 23531157163937
BaseRepresentation
bin10100110001001100…
…101101110001111110
32010120010212020120210
4110301030231301332
5331132331101220
614124455453250
71416423011526
oct246114556176
963503766523
1022300253310
119503a03415
1243a4387226
13214510b17a
1411179bc686
158a7b8c6e0
hex53132dc7e

22300253310 has 128 divisors (see below), whose sum is σ = 55999770624. Its totient is φ = 5677102080.

The previous prime is 22300253309. The next prime is 22300253321. The reversal of 22300253310 is 1335200322.

It is a super-2 number, since 2×223002533102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23799162 + ... + 23800098.

It is an arithmetic number, because the mean of its divisors is an integer number (437498208).

Almost surely, 222300253310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300253310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999885312).

22300253310 is an abundant number, since it is smaller than the sum of its proper divisors (33699517314).

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

22300253310 is a wasteful number, since it uses less digits than its factorization.

22300253310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 22300253310 its reverse (1335200322), we get a palindrome (23635453632).

The spelling of 22300253310 in words is "twenty-two billion, three hundred million, two hundred fifty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 157 163 186 310 314 326 465 471 489 785 815 930 937 942 978 1570 1630 1874 2355 2445 2811 4685 4710 4867 4890 5053 5622 9370 9734 10106 14055 14601 15159 24335 25265 25591 28110 29047 29202 30318 48670 50530 51182 58094 73005 75795 76773 87141 127955 145235 146010 147109 151590 152731 153546 174282 255910 290470 294218 305462 383865 435705 441327 458193 735545 763655 767730 793321 871410 882654 916386 1471090 1527310 1586642 2206635 2290965 2379963 3966605 4413270 4560379 4581930 4734661 4759926 7933210 9120758 9469322 11899815 13681137 14203983 22801895 23673305 23799630 23978767 27362274 28407966 45603790 47346610 47957534 68405685 71019915 71936301 119893835 136811370 142039830 143872602 239787670 359681505 719363010 743341777 1486683554 2230025331 3716708885 4460050662 7433417770 11150126655 22300253310