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22303233232 = 2471729795113
BaseRepresentation
bin10100110001011000…
…000101010011010000
32010120100110122021021
4110301120011103100
5331134111430412
614125043405224
71416460232410
oct246130052320
963510418237
1022303233232
119505659265
1243a5383814
132145912637
141118156640
158a807a607
hex5316054d0

22303233232 has 160 divisors (see below), whose sum is σ = 54789350400. Its totient is φ = 8574418944.

The previous prime is 22303233229. The next prime is 22303233241. The reversal of 22303233232 is 23233230322.

It is a super-3 number, since 3×223032332323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22303233197 and 22303233206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4359508 + ... + 4364620.

It is an arithmetic number, because the mean of its divisors is an integer number (342433440).

Almost surely, 222303233232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22303233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394675200).

22303233232 is an abundant number, since it is smaller than the sum of its proper divisors (32486117168).

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

22303233232 is a wasteful number, since it uses less digits than its factorization.

22303233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 22303233232 its reverse (23233230322), we get a palindrome (45536463554).

The spelling of 22303233232 in words is "twenty-two billion, three hundred three million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 79 112 116 119 136 158 203 232 238 272 316 406 464 476 493 553 632 812 952 986 1106 1264 1343 1624 1904 1972 2212 2291 2686 3248 3451 3944 4424 4582 5113 5372 6902 7888 8848 9164 9401 10226 10744 13804 16037 18328 18802 20452 21488 27608 32074 35791 36656 37604 38947 40904 55216 64148 71582 75208 77894 81808 86921 128296 143164 148277 150416 155788 173842 256592 272629 286328 296554 311576 347684 403927 545258 572656 593108 608447 623152 695368 807854 1037939 1090516 1186216 1216894 1390736 1615708 2075878 2181032 2372432 2433788 2520709 2827489 3231416 4151756 4362064 4867576 5041418 5654978 6462832 6866759 8303512 9735152 10082836 11309956 11713883 13733518 16607024 17644963 20165672 22619912 23427766 27467036 35289926 40331344 45239824 46855532 48067313 54934072 70579852 81997181 93711064 96134626 109868144 141159704 163994362 187422128 192269252 199136011 282319408 327988724 384538504 398272022 655977448 769077008 796544044 1311954896 1393952077 1593088088 2787904154 3186176176 5575808308 11151616616 22303233232