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601228248380 = 22519103118712941
BaseRepresentation
bin10001011111110111111…
…11110000010100111100
32010110212122000112111222
420233323333300110330
534322303412422010
61140111143532512
761302665535044
oct10577377602474
92113778015458
10601228248380
11211a85743801
129863215a138
13449072625b6
1421157448724
151098cad8355
hex8bfbff053c

601228248380 has 96 divisors (see below), whose sum is σ = 1343168386560. Its totient is φ = 225414385920.

The previous prime is 601228248359. The next prime is 601228248389. The reversal of 601228248380 is 83842822106.

It is a super-2 number, since 2×6012282483802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601228248389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46452710 + ... + 46465650.

It is an arithmetic number, because the mean of its divisors is an integer number (13991337360).

Almost surely, 2601228248380 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 601228248380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671584193280).

601228248380 is an abundant number, since it is smaller than the sum of its proper divisors (741940138180).

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

601228248380 is a wasteful number, since it uses less digits than its factorization.

601228248380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 601228248380 in words is "six hundred one billion, two hundred twenty-eight million, two hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1187 1957 2060 2374 3914 4748 5935 7828 9785 11870 12941 19570 22553 23740 25882 39140 45106 51764 64705 90212 112765 122261 129410 225530 244522 245879 258820 451060 489044 491758 611305 983516 1222610 1229395 1332923 2322959 2445220 2458790 2665846 4645918 4917580 5331692 6664615 9291836 11614795 13329230 15360967 23229590 25325537 26658460 30721934 46459180 50651074 61443868 76804835 101302148 126627685 153609670 253255370 291858373 307219340 506510740 583716746 1167433492 1459291865 1582179601 2918583730 3164359202 5837167460 6328718404 7910898005 15821796010 30061412419 31643592020 60122824838 120245649676 150307062095 300614124190 601228248380