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400002223480 = 235296711234583
BaseRepresentation
bin1011101001000011111…
…11011000110101111000
31102020110211202100000221
411310201333120311320
523023201032122410
6503431455505424
740620266541316
oct5644177306570
91366424670027
10400002223480
11144704910992
1265633b28274
132b948c39402
14155085c10b6
15a611bd74da
hex5d21fd8d78

400002223480 has 128 divisors (see below), whose sum is σ = 945983577600. Its totient is φ = 152009206272.

The previous prime is 400002223429. The next prime is 400002223519. The reversal of 400002223480 is 84322200004.

It is a congruent number.

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, 87277269 + ... + 87281851.

It is an arithmetic number, because the mean of its divisors is an integer number (7390496700).

Almost surely, 2400002223480 is an apocalyptic number.

400002223480 is a gapful number since it is divisible by the number (40) 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 400002223480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472991788800).

400002223480 is an abundant number, since it is smaller than the sum of its proper divisors (545981354120).

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

400002223480 is a wasteful number, since it uses less digits than its factorization.

400002223480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 400002223480 its reverse (84322200004), we get a palindrome (484324423484).

The spelling of 400002223480 in words is "four hundred billion, two million, two hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 67 116 134 145 232 268 290 335 536 580 670 1123 1160 1340 1943 2246 2680 3886 4492 4583 5615 7772 8984 9166 9715 11230 15544 18332 19430 22460 22915 32567 36664 38860 44920 45830 65134 75241 77720 91660 130268 132907 150482 162835 183320 260536 265814 300964 307061 325670 376205 531628 601928 614122 651340 664535 752410 1063256 1228244 1302680 1329070 1504820 1535305 2181989 2456488 2658140 3009640 3070610 4363978 5146709 5316280 6141220 8727956 8904769 10293418 10909945 12282440 17455912 17809538 20586836 21819890 25733545 35619076 41173672 43639780 44523845 51467090 71238152 87279560 89047690 102934180 149254561 178095380 205868360 298509122 344829503 356190760 597018244 689659006 746272805 1194036488 1379318012 1492545610 1724147515 2758636024 2985091220 3448295030 5970182440 6896590060 10000055587 13793180120 20000111174 40000222348 50000277935 80000444696 100000555870 200001111740 400002223480