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99940212 = 223217732237
BaseRepresentation
bin1011111010011…
…11011101110100
320222001111012100
411331033131310
5201041041322
613530022100
72322322611
oct575173564
9228044170
1099940212
1151460619
1229577930
1317922528
14d3b7508
158b91dac
hex5f4f774

99940212 has 72 divisors (see below), whose sum is σ = 271272456. Its totient is φ = 30910464.

The previous prime is 99940201. The next prime is 99940223. The reversal of 99940212 is 21204999.

It is an interprime number because it is at equal distance from previous prime (99940201) and next prime (99940223).

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 55264356 = 6684^2 + 7434^2 .

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

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, 43558 + ... + 45794.

It is an arithmetic number, because the mean of its divisors is an integer number (3767673).

Almost surely, 299940212 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 99940212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135636228).

99940212 is an abundant number, since it is smaller than the sum of its proper divisors (171332244).

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

99940212 is a wasteful number, since it uses less digits than its factorization.

99940212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99940212 is about 9997.0101530408. The cubic root of 99940212 is about 464.0663611487.

The spelling of 99940212 in words is "ninety-nine million, nine hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2237 2482 2628 3723 4474 4964 6711 7446 8948 11169 13422 14892 20133 22338 26844 38029 40266 44676 76058 80532 114087 152116 163301 228174 326602 342261 456348 489903 653204 684522 979806 1369044 1469709 1959612 2776117 2939418 5552234 5878836 8328351 11104468 16656702 24985053 33313404 49970106 99940212