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245242120224 = 253171079471483
BaseRepresentation
bin1110010001100110010…
…0011100100000100000
3212110000100022112001210
43210121210130200200
513004223440321344
6304355045430120
723501220425103
oct3443144344040
9773010275053
10245242120224
1195008868802
123b64310b340
131a18444420a
14bc2697873a
1565a528bdb9
hex391991c820

245242120224 has 192 divisors, whose sum is σ = 689190114816. Its totient is φ = 76087824384.

The previous prime is 245242120213. The next prime is 245242120231. The reversal of 245242120224 is 422021242542.

It is a junction number, because it is equal to n+sod(n) for n = 245242120191 and 245242120200.

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, 165368187 + ... + 165369669.

It is an arithmetic number, because the mean of its divisors is an integer number (3589531848).

Almost surely, 2245242120224 is an apocalyptic number.

245242120224 is a gapful number since it is divisible by the number (24) 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 245242120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344595057408).

245242120224 is an abundant number, since it is smaller than the sum of its proper divisors (443947994592).

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

245242120224 is a wasteful number, since it uses less digits than its factorization.

245242120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 245242120224 its reverse (422021242542), we get a palindrome (667263362766).

The spelling of 245242120224 in words is "two hundred forty-five billion, two hundred forty-two million, one hundred twenty thousand, two hundred twenty-four".