Search a number
-
+
100363224 = 233132711187
BaseRepresentation
bin1011111101101…
…10101111011000
320222211222110110
411332312233120
5201143110344
613543044320
72326034103
oct576665730
9228758413
10100363224
115171a415
12297406a0
1317a3cc30
14d48773a
158c273b9
hex5fb6bd8

100363224 has 64 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 30741120.

The previous prime is 100363217. The next prime is 100363231. The reversal of 100363224 is 422363001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100363217) and next prime (100363231).

It is a self number, because there is not a number n which added to its sum of digits gives 100363224.

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, 83959 + ... + 85145.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2100363224 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 100363224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

100363224 is an abundant number, since it is smaller than the sum of its proper divisors (171071016).

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

100363224 is a wasteful number, since it uses less digits than its factorization.

100363224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 100363224 is about 10018.1447384234. The cubic root of 100363224 is about 464.7201831378.

The spelling of 100363224 in words is "one hundred million, three hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 271 312 542 813 1084 1187 1626 2168 2374 3252 3523 3561 4748 6504 7046 7122 9496 10569 14092 14244 15431 21138 28184 28488 30862 42276 46293 61724 84552 92586 123448 185172 321677 370344 643354 965031 1286708 1930062 2573416 3860124 4181801 7720248 8363602 12545403 16727204 25090806 33454408 50181612 100363224