Search a number
-
+
83225802 = 231137173197
BaseRepresentation
bin1001111010111…
…10110011001010
312210121022100010
410331132303022
5132301211202
612131452350
72030256552
oct475366312
9183538303
1083225802
1142a84860
1223a570b6
131431c74a
14b0a6162
15748e76c
hex4f5ecca

83225802 has 64 divisors (see below), whose sum is σ = 188521344. Its totient is φ = 24272640.

The previous prime is 83225801. The next prime is 83225803. The reversal of 83225802 is 20852238.

It is an interprime number because it is at equal distance from previous prime (83225801) and next prime (83225803).

It is a self number, because there is not a number n which added to its sum of digits gives 83225802.

It is not an unprimeable number, because it can be changed into a prime (83225801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422368 + ... + 422564.

It is an arithmetic number, because the mean of its divisors is an integer number (2945646).

Almost surely, 283225802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83225802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94260672).

83225802 is an abundant number, since it is smaller than the sum of its proper divisors (105295542).

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

83225802 is a wasteful number, since it uses less digits than its factorization.

83225802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 83225802 is about 9122.8176568426. The cubic root of 83225802 is about 436.6022769563.

The spelling of 83225802 in words is "eighty-three million, two hundred twenty-five thousand, eight hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 173 197 222 346 394 407 519 591 814 1038 1182 1221 1903 2167 2442 3806 4334 5709 6401 6501 7289 11418 12802 13002 14578 19203 21867 34081 38406 43734 68162 70411 80179 102243 140822 160358 204486 211233 240537 374891 422466 481074 749782 1124673 1260997 2249346 2521994 3782991 7565982 13870967 27741934 41612901 83225802