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146221944 = 233112971269
BaseRepresentation
bin10001011011100…
…10101101111000
3101012010211210120
420231302231320
5244413100234
622302013240
73423603021
oct1055625570
9335124716
10146221944
11755a1790
1240b77220
13243a837b
14155c3c48
15cc85049
hex8b72b78

146221944 has 128 divisors (see below), whose sum is σ = 419904000. Its totient is φ = 42022400.

The previous prime is 146221931. The next prime is 146221961. The reversal of 146221944 is 449122641.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543442 + ... + 543710.

It is an arithmetic number, because the mean of its divisors is an integer number (3280500).

Almost surely, 2146221944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146221944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209952000).

146221944 is an abundant number, since it is smaller than the sum of its proper divisors (273682056).

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

146221944 is a wasteful number, since it uses less digits than its factorization.

146221944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 146221944 is about 12092.2265939735. The cubic root of 146221944 is about 526.8304288764.

The spelling of 146221944 in words is "one hundred forty-six million, two hundred twenty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 71 87 88 116 132 142 174 213 232 264 269 284 319 348 426 538 568 638 696 781 807 852 957 1076 1276 1562 1614 1704 1914 2059 2152 2343 2552 2959 3124 3228 3828 4118 4686 5918 6177 6248 6456 7656 7801 8236 8877 9372 11836 12354 15602 16472 17754 18744 19099 22649 23403 23672 24708 31204 35508 38198 45298 46806 49416 57297 62408 67947 71016 76396 85811 90596 93612 114594 135894 152792 171622 181192 187224 210089 229188 257433 271788 343244 420178 458376 514866 543576 553871 630267 686488 840356 1029732 1107742 1260534 1661613 1680712 2059464 2215484 2521068 3323226 4430968 5042136 6092581 6646452 12185162 13292904 18277743 24370324 36555486 48740648 73110972 146221944