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1222400130 = 235717437963
BaseRepresentation
bin100100011011100…
…0101100010000010
310011012011100201220
41020313011202002
510000413301010
6321144135510
742202141530
oct11067054202
93135140656
101222400130
11578016346
122a1467596
131663381b3
14b84c1150
15724b2970
hex48dc5882

1222400130 has 128 divisors (see below), whose sum is σ = 3633113088. Its totient is φ = 256822272.

The previous prime is 1222400063. The next prime is 1222400161. The reversal of 1222400130 is 310042221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149529 + ... + 157491.

It is an arithmetic number, because the mean of its divisors is an integer number (28383696).

Almost surely, 21222400130 is an apocalyptic number.

1222400130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222400130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816556544).

1222400130 is an abundant number, since it is smaller than the sum of its proper divisors (2410712958).

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

1222400130 is a wasteful number, since it uses less digits than its factorization.

1222400130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1222400130 is about 34962.8392725762. The cubic root of 1222400130 is about 1069.2299843276.

Adding to 1222400130 its reverse (310042221), we get a palindrome (1532442351).

The spelling of 1222400130 in words is "one billion, two hundred twenty-two million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 43 51 70 85 86 102 105 119 129 170 210 215 238 255 258 301 357 430 510 595 602 645 714 731 903 1190 1290 1462 1505 1785 1806 2193 3010 3570 3655 4386 4515 5117 7310 7963 9030 10234 10965 15351 15926 21930 23889 25585 30702 39815 47778 51170 55741 76755 79630 111482 119445 135371 153510 167223 238890 270742 278705 334446 342409 406113 557410 676855 684818 812226 836115 947597 1027227 1353710 1672230 1712045 1895194 2030565 2054454 2396863 2842791 3424090 4061130 4737985 4793726 5136135 5685582 5820953 7190589 9475970 10272270 11641906 11984315 14213955 14381178 17462859 23968630 28427910 29104765 34925718 35952945 40746671 58209530 71905890 81493342 87314295 122240013 174628590 203733355 244480026 407466710 611200065 1222400130