Search a number
-
+
122239488 = 293711369
BaseRepresentation
bin1110100100100…
…11101000000000
322112000102001110
413102103220000
5222243130423
620044003320
73013006230
oct722235000
9275012043
10122239488
1163001378
1234b30540
131c42c377
141233dcc0
15aae9193
hex7493a00

122239488 has 80 divisors (see below), whose sum is σ = 372208320. Its totient is φ = 34922496.

The previous prime is 122239487. The next prime is 122239499. The reversal of 122239488 is 884932221.

It is a super-5 number, since 5×1222394885 (a number of 42 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (122239487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5068 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (4652604).

Almost surely, 2122239488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186104160).

122239488 is an abundant number, since it is smaller than the sum of its proper divisors (249968832).

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

122239488 is an equidigital number, since it uses as much as digits as its factorization.

122239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11397 (or 11381 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 122239488 is about 11056.1968144566. The cubic root of 122239488 is about 496.2918850835.

It can be divided in two parts, 12 and 2239488, that multiplied together give a 4-th power (26873856 = 724).

The spelling of 122239488 in words is "one hundred twenty-two million, two hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 11369 22738 34107 45476 68214 79583 90952 136428 159166 181904 238749 272856 318332 363808 477498 545712 636664 727616 954996 1091424 1273328 1455232 1909992 2182848 2546656 2910464 3819984 4365696 5093312 5820928 7639968 8731392 10186624 15279936 17462784 20373248 30559872 40746496 61119744 122239488