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22673140 = 2257712281
BaseRepresentation
bin101011001111…
…1011011110100
31120122220200221
41112133123310
521301020030
62125544124
7363501310
oct126373364
946586627
1022673140
1111886736
127715044
13490b079
143022b40
151ecce7a
hex159f6f4

22673140 has 48 divisors (see below), whose sum is σ = 55206144. Its totient is φ = 7660800.

The previous prime is 22673113. The next prime is 22673149. The reversal of 22673140 is 4137622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22673149) 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, 8800 + ... + 11080.

It is an arithmetic number, because the mean of its divisors is an integer number (1150128).

Almost surely, 222673140 is an apocalyptic number.

22673140 is a gapful number since it is divisible by the number (20) 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 22673140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27603072).

22673140 is an abundant number, since it is smaller than the sum of its proper divisors (32533004).

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

22673140 is a wasteful number, since it uses less digits than its factorization.

22673140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 22673140 is about 4761.6320731447. The cubic root of 22673140 is about 283.0330968047.

The spelling of 22673140 in words is "twenty-two million, six hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2281 2485 4562 4970 9124 9940 11405 15967 22810 31934 45620 63868 79835 159670 161951 319340 323902 647804 809755 1133657 1619510 2267314 3239020 4534628 5668285 11336570 22673140