Search a number
-
+
2235622048 = 251110759357
BaseRepresentation
bin1000010101000000…
…1110001010100000
312202210201100220121
42011100032022200
514034304401143
61005501050024
7106254321352
oct20520161240
95683640817
102235622048
11a47a4aa30
12524856914
132982245aa
14172cb10d2
15d14067ed
hex8540e2a0

2235622048 has 48 divisors (see below), whose sum is σ = 4846461984. Its totient is φ = 1006677760.

The previous prime is 2235621989. The next prime is 2235622049. The reversal of 2235622048 is 8402265322.

It is not an unprimeable number, because it can be changed into a prime (2235622049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7986 + ... + 67342.

It is an arithmetic number, because the mean of its divisors is an integer number (100967958).

Almost surely, 22235622048 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 2235622048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423230992).

2235622048 is an abundant number, since it is smaller than the sum of its proper divisors (2610839936).

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

2235622048 is a wasteful number, since it uses less digits than its factorization.

2235622048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59485 (or 59477 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2235622048 is about 47282.3650846698. The cubic root of 2235622048 is about 1307.5735531815.

The spelling of 2235622048 in words is "two billion, two hundred thirty-five million, six hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 4708 9416 18832 37664 59357 118714 237428 474856 652927 949712 1305854 1899424 2611708 5223416 6351199 10446832 12702398 20893664 25404796 50809592 69863189 101619184 139726378 203238368 279452756 558905512 1117811024 2235622048