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2247023106 = 234195691283
BaseRepresentation
bin1000010111101110…
…1101101000000010
312210121011121020000
42011323231220002
514100214214411
61010545300430
7106453244526
oct20573555002
95717147200
102247023106
11a53427799
12528634716
1329a6b6a93
141745dbd86
15d2409956
hex85eeda02

2247023106 has 80 divisors (see below), whose sum is σ = 5313448800. Its totient is φ = 707787072.

The previous prime is 2247023099. The next prime is 2247023131. The reversal of 2247023106 is 6013207422.

It is a super-2 number, since 2×22470231062 = 10098225677795774472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2247023106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1750741 + ... + 1752023.

It is an arithmetic number, because the mean of its divisors is an integer number (66418110).

Almost surely, 22247023106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2247023106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656724400).

2247023106 is an abundant number, since it is smaller than the sum of its proper divisors (3066425694).

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

2247023106 is a wasteful number, since it uses less digits than its factorization.

2247023106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2247023106 is about 47402.7752984991. The cubic root of 2247023106 is about 1309.7925406181.

The spelling of 2247023106 in words is "two billion, two hundred forty-seven million, twenty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 569 1026 1138 1283 1539 1707 2566 3078 3414 3849 5121 7698 10242 10811 11547 15363 21622 23094 24377 30726 32433 34641 46089 48754 64866 69282 73131 92178 97299 103923 146262 194598 207846 219393 291897 438786 583794 658179 730027 875691 1316358 1460054 1751382 1974537 2190081 3949074 4380162 6570243 13140486 13870513 19710729 27741026 39421458 41611539 59132187 83223078 118264374 124834617 249669234 374503851 749007702 1123511553 2247023106