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22968059814 = 2347171995987
BaseRepresentation
bin10101011001000000…
…001100011110100110
32012021200110022220000
4111121000030132212
5334014310403224
614315033122130
71442112200340
oct253100143646
965250408800
1022968059814
119816964317
12454bb59346
13222058804b
14117c576290
158e66010c9
hex55900c7a6

22968059814 has 160 divisors (see below), whose sum is σ = 62600947200. Its totient is φ = 6144221952.

The previous prime is 22968059809. The next prime is 22968059819. The reversal of 22968059814 is 41895086922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22968059809) and next prime (22968059819).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22968059819) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3833329 + ... + 3839315.

It is an arithmetic number, because the mean of its divisors is an integer number (391255920).

Almost surely, 222968059814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22968059814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31300473600).

22968059814 is an abundant number, since it is smaller than the sum of its proper divisors (39632887386).

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

22968059814 is a wasteful number, since it uses less digits than its factorization.

22968059814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 22968059814 in words is "twenty-two billion, nine hundred sixty-eight million, fifty-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 199 238 306 357 378 398 459 567 597 714 918 1071 1134 1194 1377 1393 1791 2142 2754 2786 3213 3383 3582 4179 5373 5987 6426 6766 8358 9639 10149 10746 11974 12537 16119 17961 19278 20298 23681 25074 30447 32238 35922 37611 41909 47362 53883 60894 71043 75222 83818 91341 101779 107766 112833 125727 142086 161649 182682 203558 213129 225666 251454 274023 305337 323298 377181 426258 484947 548046 610674 639387 712453 754362 916011 969894 1131543 1191413 1278774 1424906 1832022 1918161 2137359 2263086 2382826 2748033 3394629 3574239 3836322 4274718 5496066 6412077 6789258 7148478 8244099 8339891 10722717 12824154 16488198 16679782 19236231 20254021 21445434 25019673 32168151 38472462 40508042 50039346 57708693 60762063 64336302 75059019 96504453 115417386 121524126 141778147 150118038 182286189 193008906 225177057 283556294 364572378 425334441 450354114 546858567 675531171 850668882 1093717134 1276003323 1351062342 1640575701 2552006646 3281151402 3828009969 7656019938 11484029907 22968059814