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1225917090 = 2325176711959
BaseRepresentation
bin100100100010010…
…0000001010100010
310011102210001002200
41021010200022202
510002313321330
6321351354030
742244060206
oct11104401242
93142701080
101225917090
11579aa8722
122a2682916
13166c99c38
14b8b58b06
1572959a60
hex491202a2

1225917090 has 96 divisors (see below), whose sum is σ = 3425535360. Its totient is φ = 303063552.

The previous prime is 1225917079. The next prime is 1225917131. The reversal of 1225917090 is 907195221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96531 + ... + 108489.

It is an arithmetic number, because the mean of its divisors is an integer number (35682660).

Almost surely, 21225917090 is an apocalyptic number.

1225917090 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 1225917090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712767680).

1225917090 is an abundant number, since it is smaller than the sum of its proper divisors (2199618270).

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

1225917090 is a wasteful number, since it uses less digits than its factorization.

1225917090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 12053 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1225917090 is about 35013.0988345790. The cubic root of 1225917090 is about 1070.2544275161.

The spelling of 1225917090 in words is "one billion, two hundred twenty-five million, nine hundred seventeen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1530 2010 2278 3015 3417 5695 6030 6834 10251 11390 11959 17085 20502 23918 34170 35877 51255 59795 71754 102510 107631 119590 179385 203303 215262 358770 406606 538155 609909 801253 1016515 1076310 1219818 1602506 1829727 2033030 2403759 3049545 3659454 4006265 4807518 6099090 7211277 8012530 9148635 12018795 13621301 14422554 18297270 24037590 27242602 36056385 40863903 68106505 72112770 81727806 122591709 136213010 204319515 245183418 408639030 612958545 1225917090