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146220228 = 22347115861
BaseRepresentation
bin10001011011100…
…10010011000100
3101012010202110000
420231302103010
5244413021403
622302001300
73423565020
oct1055622304
9335122400
10146220228
11755a0470
1240b76230
13243a765b
14155c3380
15cc847a3
hex8b724c4

146220228 has 120 divisors (see below), whose sum is σ = 476650944. Its totient is φ = 37972800.

The previous prime is 146220209. The next prime is 146220229. The reversal of 146220228 is 822022641.

It is a happy number.

146220228 is a `hidden beast` number, since 14 + 622 + 0 + 2 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (146220229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22018 + ... + 27878.

Almost surely, 2146220228 is an apocalyptic number.

146220228 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 146220228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238325472).

146220228 is an abundant number, since it is smaller than the sum of its proper divisors (330430716).

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

146220228 is a wasteful number, since it uses less digits than its factorization.

146220228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146220228 is about 12092.1556390910. The cubic root of 146220228 is about 526.8283679806.

Adding to 146220228 its reverse (822022641), we get a palindrome (968242869).

The spelling of 146220228 in words is "one hundred forty-six million, two hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 5861 6237 8316 11722 12474 17583 23444 24948 35166 41027 52749 64471 70332 82054 105498 123081 128942 158247 164108 193413 210996 246162 257884 316494 369243 386826 451297 474741 492324 580239 632988 738486 773652 902594 949482 1107729 1160478 1353891 1476972 1740717 1805188 1898964 2215458 2320956 2707782 3323187 3481434 4061673 4430916 5222151 5415564 6646374 6962868 8123346 10444302 12185019 13292748 16246692 20888604 24370038 36555057 48740076 73110114 146220228