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99302814 = 233131753157
BaseRepresentation
bin1011110101100…
…11110110011110
320220212002212000
411322303312132
5200410142224
613504223130
72314026402
oct572636636
9226762760
1099302814
1151065746
122930aaa6
131775b380
14d28d102
158ab80c9
hex5eb3d9e

99302814 has 128 divisors (see below), whose sum is σ = 258007680. Its totient is φ = 28035072.

The previous prime is 99302813. The next prime is 99302837. The reversal of 99302814 is 41820399.

It is a super-2 number, since 2×993028142 = 19722097736637192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99302813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632424 + ... + 632580.

It is an arithmetic number, because the mean of its divisors is an integer number (2015685).

Almost surely, 299302814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99302814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129003840).

99302814 is an abundant number, since it is smaller than the sum of its proper divisors (158704866).

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

99302814 is a wasteful number, since it uses less digits than its factorization.

99302814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99302814 is about 9965.0797287327. The cubic root of 99302814 is about 463.0776832119.

The spelling of 99302814 in words is "ninety-nine million, three hundred two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 53 54 78 102 106 117 153 157 159 221 234 306 314 318 351 442 459 471 477 663 689 702 901 918 942 954 1326 1378 1413 1431 1802 1989 2041 2067 2669 2703 2826 2862 3978 4082 4134 4239 5338 5406 5967 6123 6201 8007 8109 8321 8478 11713 11934 12246 12402 16014 16218 16642 18369 18603 23426 24021 24327 24963 34697 35139 36738 37206 48042 48654 49926 55107 69394 70278 72063 74889 104091 105417 108173 110214 141457 144126 149778 208182 210834 216346 224667 282914 312273 316251 324519 424371 449334 624546 632502 649038 848742 936819 973557 1273113 1838941 1873638 1947114 2546226 2920671 3677882 3819339 5516823 5841342 7638678 11033646 16550469 33100938 49651407 99302814