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1225412520 = 233589179641
BaseRepresentation
bin100100100001010…
…0100111110101000
310011101211101221220
41021002210332220
510002201200040
6321332502040
742236556153
oct11102447650
93141741856
101225412520
11579793622
122a247a920
13166b51387
14b8a66c9a
15728aa2d0
hex490a4fa8

1225412520 has 128 divisors (see below), whose sum is σ = 3744144000. Its totient is φ = 320798720.

The previous prime is 1225412453. The next prime is 1225412537. The reversal of 1225412520 is 252145221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911400 + ... + 1912040.

It is an arithmetic number, because the mean of its divisors is an integer number (29251125).

Almost surely, 21225412520 is an apocalyptic number.

1225412520 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 1225412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872072000).

1225412520 is an abundant number, since it is smaller than the sum of its proper divisors (2518731480).

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

1225412520 is a wasteful number, since it uses less digits than its factorization.

1225412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1225412520 is about 35005.8926468102. The cubic root of 1225412520 is about 1070.1075735442.

Adding to 1225412520 its reverse (252145221), we get a palindrome (1477557741).

The spelling of 1225412520 in words is "one billion, two hundred twenty-five million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 179 267 356 358 445 534 537 641 712 716 890 895 1068 1074 1282 1335 1432 1780 1790 1923 2136 2148 2564 2670 2685 3205 3560 3580 3846 4296 5128 5340 5370 6410 7160 7692 9615 10680 10740 12820 15384 15931 19230 21480 25640 31862 38460 47793 57049 63724 76920 79655 95586 114098 114739 127448 159310 171147 191172 228196 229478 238965 285245 318620 342294 344217 382344 456392 458956 477930 570490 573695 637240 684588 688434 855735 917912 955860 1140980 1147390 1369176 1376868 1711470 1721085 1911720 2281960 2294780 2753736 3422940 3442170 4589560 6845880 6884340 10211771 13768680 20423542 30635313 40847084 51058855 61270626 81694168 102117710 122541252 153176565 204235420 245082504 306353130 408470840 612706260 1225412520