Search a number
-
+
94220928 = 2733137199
BaseRepresentation
bin1011001110110…
…11001010000000
320120021220211000
411213123022000
5143110032203
613203252000
72222602404
oct547331200
9216256730
1094220928
114920463a
122767a000
131669c239
14c729104
1584124a3
hex59db280

94220928 has 128 divisors (see below), whose sum is σ = 281520000. Its totient is φ = 31021056.

The previous prime is 94220927. The next prime is 94220933. The reversal of 94220928 is 82902249.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 94220892 and 94220901.

It is not an unprimeable number, because it can be changed into a prime (94220927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473373 + ... + 473571.

It is an arithmetic number, because the mean of its divisors is an integer number (2199375).

Almost surely, 294220928 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 94220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140760000).

94220928 is an abundant number, since it is smaller than the sum of its proper divisors (187299072).

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

94220928 is a wasteful number, since it uses less digits than its factorization.

94220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 94220928 is about 9706.7465198181. The cubic root of 94220928 is about 455.0395296333.

The spelling of 94220928 in words is "ninety-four million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 199 216 274 288 384 398 411 432 548 576 597 796 822 864 1096 1152 1194 1233 1592 1644 1728 1791 2192 2388 2466 3184 3288 3456 3582 3699 4384 4776 4932 5373 6368 6576 7164 7398 8768 9552 9864 10746 12736 13152 14328 14796 17536 19104 19728 21492 25472 26304 27263 28656 29592 38208 39456 42984 52608 54526 57312 59184 76416 78912 81789 85968 109052 114624 118368 157824 163578 171936 218104 229248 236736 245367 327156 343872 436208 473472 490734 654312 687744 736101 872416 981468 1308624 1472202 1744832 1962936 2617248 2944404 3489664 3925872 5234496 5888808 7851744 10468992 11777616 15703488 23555232 31406976 47110464 94220928