Search a number
-
+
99212364 = 22342910559
BaseRepresentation
bin1011110100111…
…01110001001100
320220200111210000
411322131301030
5200344243424
613502244300
72313201606
oct572356114
9226614700
1099212364
1151003799
1229286690
1317729154
14d268176
158a9b3c9
hex5e9dc4c

99212364 has 60 divisors (see below), whose sum is σ = 268329600. Its totient is φ = 31927392.

The previous prime is 99212359. The next prime is 99212383. The reversal of 99212364 is 46321299.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4117 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (4472160).

Almost surely, 299212364 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 99212364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134164800).

99212364 is an abundant number, since it is smaller than the sum of its proper divisors (169117236).

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

99212364 is a wasteful number, since it uses less digits than its factorization.

99212364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10604 (or 10593 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 99212364 is about 9960.5403467884. The cubic root of 99212364 is about 462.9370423502.

The spelling of 99212364 in words is "ninety-nine million, two hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 10559 21118 31677 42236 63354 95031 126708 190062 285093 306211 380124 570186 612422 855279 918633 1140372 1224844 1710558 1837266 2755899 3421116 3674532 5511798 8267697 11023596 16535394 24803091 33070788 49606182 99212364