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10022332230 = 2335193176163
BaseRepresentation
bin10010101010110000…
…01010011101000110
3221212110210020012000
421111120022131012
5131011204112410
64334301210130
7503235263331
oct112530123506
927773706160
1010022332230
1142833885a9
121b38560946
13c39509301
146b10d7618
153d9d1edc0
hex25560a746

10022332230 has 128 divisors (see below), whose sum is σ = 28226188800. Its totient is φ = 2523560832.

The previous prime is 10022332219. The next prime is 10022332241. The reversal of 10022332230 is 3223322001.

It is a happy number.

10022332230 is a `hidden beast` number, since 100 + 2 + 2 + 332 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (10022332219) and next prime (10022332241).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623129 + ... + 1629291.

It is an arithmetic number, because the mean of its divisors is an integer number (220517100).

Almost surely, 210022332230 is an apocalyptic number.

10022332230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113094400).

10022332230 is an abundant number, since it is smaller than the sum of its proper divisors (18203856570).

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

10022332230 is a wasteful number, since it uses less digits than its factorization.

10022332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10022332230 its reverse (3223322001), we get a palindrome (13245654231).

The spelling of 10022332230 in words is "ten billion, twenty-two million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 317 342 513 570 634 855 951 1026 1585 1710 1902 2565 2853 3170 4755 5130 5706 6023 6163 8559 9510 12046 12326 14265 17118 18069 18489 28530 30115 30815 36138 36978 42795 54207 55467 60230 61630 85590 90345 92445 108414 110934 117097 162621 166401 180690 184890 234194 271035 277335 325242 332802 351291 542070 554670 585485 702582 813105 832005 1053873 1170970 1626210 1664010 1756455 1953671 2107746 3161619 3512910 3907342 5269365 5861013 6323238 9768355 10538730 11722026 15808095 17583039 19536710 29305065 31616190 35166078 37119749 52749117 58610130 74239498 87915195 105498234 111359247 175830390 185598745 222718494 263745585 334077741 371197490 527491170 556796235 668155482 1002233223 1113592470 1670388705 2004466446 3340777410 5011166115 10022332230