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10228970745 = 3257261113673
BaseRepresentation
bin10011000011011000…
…11011010011111001
3222101212121112221100
421201230123103321
5131422104030440
64411002202013
7511324550100
oct114154332371
928355545840
1010228970745
114379a95134
121b957b3309
13c70279116
146d0727037
153ed03b230
hex261b1b4f9

10228970745 has 144 divisors (see below), whose sum is σ = 21179997072. Its totient is φ = 4551966720.

The previous prime is 10228970743. The next prime is 10228970767. The reversal of 10228970745 is 54707982201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5134009104 + 5094961641 = 71652^2 + 71379^2 .

It is not a de Polignac number, because 10228970745 - 21 = 10228970743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10228970745.

It is not an unprimeable number, because it can be changed into a prime (10228970743) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15198729 + ... + 15199401.

It is an arithmetic number, because the mean of its divisors is an integer number (147083313).

Almost surely, 210228970745 is an apocalyptic number.

10228970745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10228970745 is an abundant number, since it is smaller than the sum of its proper divisors (10951026327).

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

10228970745 is a wasteful number, since it uses less digits than its factorization.

10228970745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10228970745 in words is "ten billion, two hundred twenty-eight million, nine hundred seventy thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 61 63 105 113 147 183 245 305 315 339 427 441 549 565 673 735 791 915 1017 1281 1695 2019 2135 2205 2373 2745 2989 3365 3843 3955 4711 5085 5537 6057 6405 6893 7119 8967 10095 11865 14133 14945 16611 19215 20679 23555 26901 27685 30285 32977 34465 35595 41053 42399 44835 48251 49833 62037 70665 76049 83055 98931 103395 123159 134505 144753 164885 205265 211995 228147 241255 249165 287371 296793 310185 337757 369477 380245 434259 494655 532343 615795 684441 723765 862113 1013271 1140735 1436855 1483965 1597029 1688785 1847385 2011597 2171295 2586339 2661715 3039813 3422205 3726401 4310565 4638989 4791087 5066355 6034791 7985145 10057985 11179203 12931695 13916967 15199065 18104373 18632005 23194945 23955435 30173955 32472923 33537609 41750901 55896015 69584835 90521865 97418769 162364615 167688045 208754505 227310461 292256307 487093845 681931383 1136552305 1461281535 2045794149 3409656915 10228970745