Search a number
-
+
4297099224 = 2331131975413
BaseRepresentation
bin1000000000010000…
…01000011111011000
3102002110202020222010
410000020020133120
532300024133344
61550221425520
7211325512035
oct40010103730
912073666863
104297099224
111905667280
129bb10b2a0
13536345082
142ca9b038c
151a23ae8b9
hex1002087d8

4297099224 has 128 divisors (see below), whose sum is σ = 12224378880. Its totient is φ = 1246924800.

The previous prime is 4297099217. The next prime is 4297099241. The reversal of 4297099224 is 4229907924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791142 + ... + 796554.

It is an arithmetic number, because the mean of its divisors is an integer number (95502960).

Almost surely, 24297099224 is an apocalyptic number.

4297099224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297099224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112189440).

4297099224 is an abundant number, since it is smaller than the sum of its proper divisors (7927279656).

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

4297099224 is a wasteful number, since it uses less digits than its factorization.

4297099224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 4297099224 is about 65552.2633018876. The cubic root of 4297099224 is about 1625.7675867455.

The spelling of 4297099224 in words is "four billion, two hundred ninety-seven million, ninety-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 97 124 132 186 194 248 264 291 341 372 388 582 682 744 776 1023 1067 1164 1364 2046 2134 2328 2728 3007 3201 4092 4268 5413 6014 6402 8184 8536 9021 10826 12028 12804 16239 18042 21652 24056 25608 32478 33077 36084 43304 59543 64956 66154 72168 99231 119086 129912 132308 167803 178629 198462 238172 264616 335606 357258 396924 476344 503409 525061 671212 714516 793848 1006818 1050122 1342424 1429032 1575183 1845833 2013636 2100244 3150366 3691666 4027272 4200488 5537499 5775671 6300732 7383332 11074998 11551342 12601464 14766664 16276891 17327013 22149996 23102684 32553782 34654026 44299992 46205368 48830673 65107564 69308052 97661346 130215128 138616104 179045801 195322692 358091602 390645384 537137403 716183204 1074274806 1432366408 2148549612 4297099224