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22723680330 = 23351324126863
BaseRepresentation
bin10101001010011011…
…111101100001001010
32011122122121120021000
4111022123331201022
5333014230232310
614234503155430
71433054044611
oct251233754112
964578546230
1022723680330
119700a1a3aa
1244a2145b76
1321b1a629c0
141157d20878
158cee2c4c0
hex54a6fd84a

22723680330 has 128 divisors (see below), whose sum is σ = 65530967040. Its totient is φ = 5570104320.

The previous prime is 22723680313. The next prime is 22723680347. The reversal of 22723680330 is 3308632722.

It is a happy number.

22723680330 is a `hidden beast` number, since 227 + 23 + 6 + 80 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (22723680313) and next prime (22723680347).

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, 832479 + ... + 859341.

It is an arithmetic number, because the mean of its divisors is an integer number (511960680).

Almost surely, 222723680330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22723680330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765483520).

22723680330 is an abundant number, since it is smaller than the sum of its proper divisors (42807286710).

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

22723680330 is a wasteful number, since it uses less digits than its factorization.

22723680330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27133 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 22723680330 in words is "twenty-two billion, seven hundred twenty-three million, six hundred eighty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 241 270 351 390 482 585 702 723 1170 1205 1446 1755 2169 2410 3133 3510 3615 4338 6266 6507 7230 9399 10845 13014 15665 18798 21690 26863 28197 31330 32535 46995 53726 56394 65070 80589 84591 93990 134315 140985 161178 169182 241767 268630 281970 349219 402945 422955 483534 698438 725301 805890 845910 1047657 1208835 1450602 1746095 2095314 2417670 3142971 3492190 3626505 5238285 6285942 6473983 7253010 9428913 10476570 12947966 15714855 18857826 19421949 31429710 32369915 38843898 47144565 58265847 64739830 84161779 94289130 97109745 116531694 168323558 174797541 194219490 252485337 291329235 349595082 420808895 504970674 582658470 757456011 841617790 873987705 1262426685 1514912022 1747975410 2272368033 2524853370 3787280055 4544736066 7574560110 11361840165 22723680330