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102422016 = 293331239
BaseRepresentation
bin1100001101011…
…01011000000000
321010201120121000
412012231120000
5202210001031
614055132000
72352400314
oct606553000
9233646530
10102422016
11528a61a4
122a374000
13182b1058
14d861b44
158ed23e6
hex61ad600

102422016 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 32901120.

The previous prime is 102422003. The next prime is 102422017. The reversal of 102422016 is 610224201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102422016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102422017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428425 + ... + 428663.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2102422016 is an apocalyptic number.

102422016 is a gapful number since it is divisible by the number (16) 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 102422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

102422016 is an abundant number, since it is smaller than the sum of its proper divisors (211843584).

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

102422016 is an equidigital number, since it uses as much as digits as its factorization.

102422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102422016 is about 10120.3762775897. The cubic root of 102422016 is about 467.8763644482.

Adding to 102422016 its reverse (610224201), we get a palindrome (712646217).

The spelling of 102422016 in words is "one hundred two million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 239 248 256 279 288 372 384 432 478 496 512 558 576 717 744 768 837 864 956 992 1116 1152 1434 1488 1536 1674 1728 1912 1984 2151 2232 2304 2868 2976 3348 3456 3824 3968 4302 4464 4608 5736 5952 6453 6696 6912 7409 7648 7936 8604 8928 11472 11904 12906 13392 13824 14818 15296 15872 17208 17856 22227 22944 23808 25812 26784 29636 30592 34416 35712 44454 45888 47616 51624 53568 59272 61184 66681 68832 71424 88908 91776 103248 107136 118544 122368 133362 137664 142848 177816 183552 200043 206496 214272 237088 266724 275328 355632 367104 400086 412992 428544 474176 533448 550656 711264 800172 825984 948352 1066896 1101312 1422528 1600344 1651968 1896704 2133792 2845056 3200688 3303936 3793408 4267584 5690112 6401376 8535168 11380224 12802752 17070336 25605504 34140672 51211008 102422016