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1224314020 = 225193798501
BaseRepresentation
bin100100011111001…
…1000110010100100
310011022202121002201
41020332120302210
510001411022040
6321253144244
742224332426
oct11076306244
93138677081
101224314020
11579103276
122a202b084
13166858387
14b885c816
157273ea9a
hex48f98ca4

1224314020 has 48 divisors (see below), whose sum is σ = 2713838400. Its totient is φ = 462672000.

The previous prime is 1224313927. The next prime is 1224314023. The reversal of 1224314020 is 204134221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1224314023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139770 + ... + 148270.

It is an arithmetic number, because the mean of its divisors is an integer number (56538300).

Almost surely, 21224314020 is an apocalyptic number.

1224314020 is a gapful number since it is divisible by the number (10) 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 1224314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356919200).

1224314020 is an abundant number, since it is smaller than the sum of its proper divisors (1489524380).

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

1224314020 is a wasteful number, since it uses less digits than its factorization.

1224314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1224314020 is about 34990.1989134100. The cubic root of 1224314020 is about 1069.7877180992.

Adding to 1224314020 its reverse (204134221), we get a palindrome (1428448241).

The spelling of 1224314020 in words is "one billion, two hundred twenty-four million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 379 380 758 1516 1895 3790 7201 7580 8501 14402 17002 28804 34004 36005 42505 72010 85010 144020 161519 170020 323038 646076 807595 1615190 3221879 3230380 6443758 12887516 16109395 32218790 61215701 64437580 122431402 244862804 306078505 612157010 1224314020