Search a number
-
+
122404352 = 29731741
BaseRepresentation
bin1110100101110…
…11111000000000
322112022210012112
413102323320000
5222313414402
620051314452
73014264000
oct722737000
9275283175
10122404352
1163104224
1234baba28
131c489415
1412384000
15ab2ce52
hex74bbe00

122404352 has 160 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 48168960.

The previous prime is 122404351. The next prime is 122404379. The reversal of 122404352 is 253404221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122404351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2985452 + ... + 2985492.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2122404352 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 122404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

122404352 is an abundant number, since it is smaller than the sum of its proper divisors (186950848).

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

122404352 is an frugal number, since it uses more digits than its factorization.

122404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 122404352 is about 11063.6500306183. The cubic root of 122404352 is about 496.5149006040.

Adding to 122404352 its reverse (253404221), we get a palindrome (375808573).

The spelling of 122404352 in words is "one hundred twenty-two million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 49 56 64 68 82 98 112 119 128 136 164 196 224 238 256 272 287 328 343 392 448 476 512 544 574 656 686 697 784 833 896 952 1088 1148 1312 1372 1394 1568 1666 1792 1904 2009 2176 2296 2624 2744 2788 3136 3332 3584 3808 4018 4352 4592 4879 5248 5488 5576 5831 6272 6664 7616 8036 8704 9184 9758 10496 10976 11152 11662 12544 13328 14063 15232 16072 18368 19516 20992 21952 22304 23324 25088 26656 28126 30464 32144 34153 36736 39032 43904 44608 46648 53312 56252 60928 64288 68306 73472 78064 87808 89216 93296 106624 112504 128576 136612 146944 156128 175616 178432 186592 213248 225008 239071 257152 273224 312256 356864 373184 426496 450016 478142 514304 546448 624512 746368 900032 956284 1028608 1092896 1249024 1492736 1800064 1912568 2185792 2498048 2985472 3600128 3825136 4371584 7200256 7650272 8743168 15300544 17486336 30601088 61202176 122404352