Search a number
-
+
83422224 = 2434591091
BaseRepresentation
bin1001111100011…
…10110000010000
312210222021210000
410332032300100
5132324002344
612140010000
72032035324
oct476166020
9183867700
1083422224
11430a9396
1223b30900
131438ac82
14b117984
1574cca69
hex4f8ec10

83422224 has 100 divisors (see below), whose sum is σ = 245765520. Its totient is φ = 27311040.

The previous prime is 83422223. The next prime is 83422253. The reversal of 83422224 is 42222438.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (83422223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75919 + ... + 77009.

Almost surely, 283422224 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 83422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122882760).

83422224 is an abundant number, since it is smaller than the sum of its proper divisors (162343296).

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

83422224 is a wasteful number, since it uses less digits than its factorization.

83422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 83422224 is about 9133.5767364160. The cubic root of 83422224 is about 436.9454834795.

The spelling of 83422224 in words is "eighty-three million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1091 1296 1416 1593 2124 2182 2832 3186 3273 4248 4364 4779 6372 6546 8496 8728 9558 9819 12744 13092 17456 19116 19638 25488 26184 29457 38232 39276 52368 58914 64369 76464 78552 88371 117828 128738 157104 176742 193107 235656 257476 353484 386214 471312 514952 579321 706968 772428 1029904 1158642 1413936 1544856 1737963 2317284 3089712 3475926 4634568 5213889 6951852 9269136 10427778 13903704 20855556 27807408 41711112 83422224