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145221804 = 223271397457
BaseRepresentation
bin10001010011111…
…10100010101100
3101010021000212100
420221332202230
5244134044204
622224335100
73412236120
oct1051764254
9333230770
10145221804
1174a79322
1240774490
1324118080
1415403580
15cb38a39
hex8a7e8ac

145221804 has 144 divisors (see below), whose sum is σ = 457457728. Its totient is φ = 37822464.

The previous prime is 145221799. The next prime is 145221827. The reversal of 145221804 is 408122541.

145221804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317544 + ... + 318000.

Almost surely, 2145221804 is an apocalyptic number.

145221804 is a gapful number since it is divisible by the number (14) 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 145221804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228728864).

145221804 is an abundant number, since it is smaller than the sum of its proper divisors (312235924).

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

145221804 is a wasteful number, since it uses less digits than its factorization.

145221804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145221804 is about 12050.8009692302. The cubic root of 145221804 is about 525.6265282024.

The spelling of 145221804 in words is "one hundred forty-five million, two hundred twenty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 97 117 126 156 182 194 234 252 273 291 364 388 457 468 546 582 679 819 873 914 1092 1164 1261 1358 1371 1638 1746 1828 2037 2522 2716 2742 3199 3276 3492 3783 4074 4113 5044 5484 5941 6111 6398 7566 8148 8226 8827 9597 11349 11882 12222 12796 15132 16452 17654 17823 19194 22698 23764 24444 26481 28791 35308 35646 38388 41587 44329 45396 52962 53469 57582 71292 79443 83174 88658 105924 106938 115164 124761 132987 158886 166348 177316 213876 249522 265974 310303 317772 374283 398961 499044 531948 576277 620606 748566 797922 930909 1152554 1241212 1497132 1595844 1728831 1861818 2305108 2792727 3457662 3723636 4033939 5186493 5585454 6915324 8067878 10372986 11170908 12101817 16135756 20745972 24203634 36305451 48407268 72610902 145221804