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244148080 = 24511475903
BaseRepresentation
bin11101000110101…
…10011101110000
3122000102000012111
432203112131300
51000000214310
640120535104
76023136661
oct1643263560
9560360174
10244148080
111158a7080
1269921494
133b773c27
14245d5368
151667a28a
hexe8d6770

244148080 has 80 divisors (see below), whose sum is σ = 632530944. Its totient is φ = 86877440.

The previous prime is 244148063. The next prime is 244148087. The reversal of 244148080 is 80841442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244148087) 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, 38409 + ... + 44311.

Almost surely, 2244148080 is an apocalyptic number.

244148080 is a gapful number since it is divisible by the number (20) 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 244148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316265472).

244148080 is an abundant number, since it is smaller than the sum of its proper divisors (388382864).

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

244148080 is a wasteful number, since it uses less digits than its factorization.

244148080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 244148080 is about 15625.2385581789. The cubic root of 244148080 is about 625.0063615352.

The spelling of 244148080 in words is "two hundred forty-four million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 5903 8272 10340 11806 20680 23612 29515 41360 47224 59030 64933 94448 118060 129866 236120 259732 277441 324665 472240 519464 554882 649330 1038928 1109764 1298660 1387205 2219528 2597320 2774410 3051851 4439056 5194640 5548820 6103702 11097640 12207404 15259255 22195280 24414808 30518510 48829616 61037020 122074040 244148080