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142226928 = 2435157233
BaseRepresentation
bin10000111101000…
…11010111110000
3100220121212200000
420132203113300
5242402230203
622040230000
73344623524
oct1036432760
9326555600
10142226928
1173313218
123b76b300
1323609b5c
1414c63d84
15c7464a3
hex87a35f0

142226928 has 120 divisors (see below), whose sum is σ = 417192048. Its totient is φ = 46904832.

The previous prime is 142226921. The next prime is 142226957. The reversal of 142226928 is 829622241.

142226928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142226892 and 142226901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142226921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610300 + ... + 610532.

Almost surely, 2142226928 is an apocalyptic number.

142226928 is a gapful number since it is divisible by the number (18) 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 142226928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208596024).

142226928 is an abundant number, since it is smaller than the sum of its proper divisors (274965120).

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

142226928 is a wasteful number, since it uses less digits than its factorization.

142226928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 142226928 is about 11925.8931740981. The cubic root of 142226928 is about 521.9881091227.

The spelling of 142226928 in words is "one hundred forty-two million, two hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 233 243 314 324 432 466 471 486 628 648 699 932 942 972 1256 1296 1398 1413 1864 1884 1944 2097 2512 2796 2826 3728 3768 3888 4194 4239 5592 5652 6291 7536 8388 8478 11184 11304 12582 12717 16776 16956 18873 22608 25164 25434 33552 33912 36581 37746 38151 50328 50868 56619 67824 73162 75492 76302 100656 101736 109743 113238 146324 150984 152604 203472 219486 226476 292648 301968 305208 329229 438972 452952 585296 610416 658458 877944 905904 987687 1316916 1755888 1975374 2633832 2963061 3950748 5267664 5926122 7901496 8889183 11852244 15802992 17778366 23704488 35556732 47408976 71113464 142226928