Search a number
-
+
99202272 = 25313292741
BaseRepresentation
bin1011110100110…
…11010011100000
320220122222221020
411322123103200
5200343433042
613502125440
72313130311
oct572332340
9226588836
1099202272
1150aa7154
1229280880
1317724690
14d264608
158a983ec
hex5e9b4e0

99202272 has 96 divisors (see below), whose sum is σ = 290213280. Its totient is φ = 29460480.

The previous prime is 99202267. The next prime is 99202303. The reversal of 99202272 is 27220299.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34822 + ... + 37562.

It is an arithmetic number, because the mean of its divisors is an integer number (3023055).

Almost surely, 299202272 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 99202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145106640).

99202272 is an abundant number, since it is smaller than the sum of its proper divisors (191011008).

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

99202272 is a wasteful number, since it uses less digits than its factorization.

99202272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 99202272 is about 9960.0337348826. The cubic root of 99202272 is about 462.9213449819.

The spelling of 99202272 in words is "ninety-nine million, two hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2741 2784 3016 4524 5482 6032 8223 9048 10964 12064 16446 18096 21928 32892 35633 36192 43856 65784 71266 79489 87712 106899 131568 142532 158978 213798 238467 263136 285064 317956 427596 476934 570128 635912 855192 953868 1033357 1140256 1271824 1710384 1907736 2066714 2543648 3100071 3420768 3815472 4133428 6200142 7630944 8266856 12400284 16533712 24800568 33067424 49601136 99202272