Search a number
-
+
1222528680 = 233351318641
BaseRepresentation
bin100100011011110…
…0100111010101000
310011012101220002000
41020313210322220
510000431404210
6321151011000
742203215362
oct11067447250
93135356060
101222528680
115780a398a
122a1509a60
13166381869
14b8515d32
15724daac0
hex48de4ea8

1222528680 has 128 divisors (see below), whose sum is σ = 4106678400. Its totient is φ = 323481600.

The previous prime is 1222528649. The next prime is 1222528717. The reversal of 1222528680 is 868252221.

1222528680 is a `hidden beast` number, since 122 + 2 + 528 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 137160 + ... + 145800.

It is an arithmetic number, because the mean of its divisors is an integer number (32083425).

Almost surely, 21222528680 is an apocalyptic number.

1222528680 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 1222528680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053339200).

1222528680 is an abundant number, since it is smaller than the sum of its proper divisors (2884149720).

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

1222528680 is a wasteful number, since it uses less digits than its factorization.

1222528680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1222528680 is about 34964.6776046913. The cubic root of 1222528680 is about 1069.2674637893.

The spelling of 1222528680 in words is "one billion, two hundred twenty-two million, five hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 131 135 180 216 262 270 360 393 524 540 655 786 1048 1080 1179 1310 1572 1965 2358 2620 3144 3537 3930 4716 5240 5895 7074 7860 8641 9432 11790 14148 15720 17282 17685 23580 25923 28296 34564 35370 43205 47160 51846 69128 70740 77769 86410 103692 129615 141480 155538 172820 207384 233307 259230 311076 345640 388845 466614 518460 622152 777690 933228 1036920 1131971 1166535 1555380 1866456 2263942 2333070 3110760 3395913 4527884 4666140 5659855 6791826 9055768 9332280 10187739 11319710 13583652 16979565 20375478 22639420 27167304 30563217 33959130 40750956 45278840 50938695 61126434 67918260 81501912 101877390 122252868 135836520 152816085 203754780 244505736 305632170 407509560 611264340 1222528680