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149204224 = 2813107419
BaseRepresentation
bin10001110010010…
…10110100000000
3101101202100201101
420321022310000
5301144013344
622445544144
73461133511
oct1071126400
9341670641
10149204224
1177249384
1241b75054
1324bb0930
1415b5ca08
15d1739d4
hex8e4ad00

149204224 has 72 divisors (see below), whose sum is σ = 324505440. Its totient is φ = 68057088.

The previous prime is 149204173. The next prime is 149204227. The reversal of 149204224 is 422402941.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 149204192 and 149204201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149204227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355887 + ... + 356305.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2149204224 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 149204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162252720).

149204224 is an abundant number, since it is smaller than the sum of its proper divisors (175301216).

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

149204224 is a wasteful number, since it uses less digits than its factorization.

149204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 149204224 is about 12214.9180922346. The cubic root of 149204224 is about 530.3880201161.

The spelling of 149204224 in words is "one hundred forty-nine million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 128 208 214 256 416 419 428 832 838 856 1391 1664 1676 1712 2782 3328 3352 3424 5447 5564 6704 6848 10894 11128 13408 13696 21788 22256 26816 27392 43576 44512 44833 53632 87152 89024 89666 107264 174304 178048 179332 348608 356096 358664 582829 697216 717328 1165658 1394432 1434656 2331316 2869312 4662632 5738624 9325264 11477248 18650528 37301056 74602112 149204224