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122207696 = 241317219107
BaseRepresentation
bin1110100100010…
…11110111010000
322111221210102222
413102023313100
5222241121241
620043200212
73012514442
oct722136720
9274853388
10122207696
1162a8a4a6
1234b16068
131c41aa60
1412332492
15aadea4b
hex748bdd0

122207696 has 120 divisors (see below), whose sum is σ = 287794080. Its totient is φ = 49821696.

The previous prime is 122207693. The next prime is 122207731. The reversal of 122207696 is 696702221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122207693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142075 + ... + 1142181.

It is an arithmetic number, because the mean of its divisors is an integer number (2398284).

Almost surely, 2122207696 is an apocalyptic number.

122207696 is a gapful number since it is divisible by the number (16) 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 122207696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143897040).

122207696 is an abundant number, since it is smaller than the sum of its proper divisors (165586384).

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

122207696 is a wasteful number, since it uses less digits than its factorization.

122207696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 122207696 is about 11054.7589752106. The cubic root of 122207696 is about 496.2488562175.

The spelling of 122207696 in words is "one hundred twenty-two million, two hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 107 136 152 208 214 221 247 272 289 304 323 428 442 494 578 646 856 884 988 1156 1292 1391 1712 1768 1819 1976 2033 2312 2584 2782 3536 3638 3757 3952 4066 4199 4624 5168 5491 5564 7276 7514 8132 8398 10982 11128 14552 15028 16264 16796 21964 22256 23647 26429 29104 30056 30923 32528 33592 34561 43928 47294 52858 60112 61846 67184 69122 71383 87856 94588 105716 123692 138244 142766 189176 211432 247384 276488 285532 378352 401999 422864 449293 494768 552976 571064 587537 803998 898586 1142128 1175074 1607996 1797172 2350148 3215992 3594344 4700296 6431984 7188688 7637981 9400592 15275962 30551924 61103848 122207696