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102223297000 = 23531118774951
BaseRepresentation
bin101111100110011111…
…0111011100111101000
3100202212010011112101001
41133030332323213220
53133323131001000
6114543304004344
710246121454646
oct1371476734750
9322763145331
10102223297000
113a397428040
121798a4606b4
13984130a0b6
144d3a444196
1529d450946a
hex17ccfbb9e8

102223297000 has 128 divisors (see below), whose sum is σ = 261139956480. Its totient is φ = 37144800000.

The previous prime is 102223296977. The next prime is 102223297021. The reversal of 102223297000 is 792322201.

It is a self number, because there is not a number n which added to its sum of digits gives 102223297000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20644525 + ... + 20649475.

It is an arithmetic number, because the mean of its divisors is an integer number (2040155910).

Almost surely, 2102223297000 is an apocalyptic number.

102223297000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102223297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130569978240).

102223297000 is an abundant number, since it is smaller than the sum of its proper divisors (158916659480).

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

102223297000 is a wasteful number, since it uses less digits than its factorization.

102223297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 102223297000 in words is "one hundred two billion, two hundred twenty-three million, two hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1877 2200 2750 3754 4951 5500 7508 9385 9902 11000 15016 18770 19804 20647 24755 37540 39608 41294 46925 49510 54461 75080 82588 93850 99020 103235 108922 123775 165176 187700 198040 206470 217844 234625 247550 272305 375400 412940 435688 469250 495100 516175 544610 618875 825880 938500 990200 1032350 1089220 1237750 1361525 1877000 2064700 2178440 2475500 2580875 2723050 4129400 4951000 5161750 5446100 6807625 9293027 10323500 10892200 13615250 18586054 20647000 27230500 37172108 46465135 54461000 74344216 92930270 102223297 185860540 204446594 232325675 371721080 408893188 464651350 511116485 817786376 929302700 1022232970 1161628375 1858605400 2044465940 2323256750 2555582425 4088931880 4646513500 5111164850 9293027000 10222329700 12777912125 20444659400 25555824250 51111648500 102223297000