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145126224 = 24324147523
BaseRepresentation
bin10001010011001…
…11001101010000
3101010002011202100
420221213031100
5244123014344
622222320400
73411360345
oct1051471520
9333064670
10145126224
1174a13531
1240729100
13240b3709
14153ba7cc
15cb1a569
hex8a67350

145126224 has 120 divisors (see below), whose sum is σ = 425722752. Its totient is φ = 46103040.

The previous prime is 145126217. The next prime is 145126273. The reversal of 145126224 is 422621541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277227 + ... + 277749.

Almost surely, 2145126224 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 145126224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212861376).

145126224 is an abundant number, since it is smaller than the sum of its proper divisors (280596528).

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

145126224 is a wasteful number, since it uses less digits than its factorization.

145126224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 145126224 is about 12046.8346049906. The cubic root of 145126224 is about 525.5111864558.

Adding to 145126224 its reverse (422621541), we get a palindrome (567747765).

It can be divided in two parts, 14512 and 6224, that added together give a 4-th power (20736 = 124).

The spelling of 145126224 in words is "one hundred forty-five million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 47 48 72 82 94 123 141 144 164 188 246 282 328 369 376 423 492 523 564 656 738 752 846 984 1046 1128 1476 1569 1692 1927 1968 2092 2256 2952 3138 3384 3854 4184 4707 5781 5904 6276 6768 7708 8368 9414 11562 12552 15416 17343 18828 21443 23124 24581 25104 30832 34686 37656 42886 46248 49162 64329 69372 73743 75312 85772 92496 98324 128658 138744 147486 171544 192987 196648 221229 257316 277488 294972 343088 385974 393296 442458 514632 589944 771948 884916 1007821 1029264 1179888 1543896 1769832 2015642 3023463 3087792 3539664 4031284 6046926 8062568 9070389 12093852 16125136 18140778 24187704 36281556 48375408 72563112 145126224