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122054244 = 223135989149
BaseRepresentation
bin1110100011001…
…10011001100100
322111122222221120
413101212121210
5222221213434
620040013540
73011305164
oct721463144
9274588846
10122054244
1162995184
1234a612b0
131c395c60
14122d25a4
15aaae349
hex7466664

122054244 has 96 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 36258816.

The previous prime is 122054213. The next prime is 122054249. The reversal of 122054244 is 442450221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122054249) 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 31 ways as a sum of consecutive naturals, for example, 819082 + ... + 819230.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2122054244 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 122054244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

122054244 is an abundant number, since it is smaller than the sum of its proper divisors (195465756).

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

122054244 is a wasteful number, since it uses less digits than its factorization.

122054244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 122054244 is about 11047.8162548080. The cubic root of 122054244 is about 496.0410616804.

The spelling of 122054244 in words is "one hundred twenty-two million, fifty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 89 118 149 156 177 178 236 267 298 354 356 447 534 596 708 767 894 1068 1157 1534 1788 1937 2301 2314 3068 3471 3874 4602 4628 5251 5811 6942 7748 8791 9204 10502 11622 13261 13884 15753 17582 21004 23244 26373 26522 31506 35164 39783 52746 53044 63012 68263 79566 105492 114283 136526 159132 172393 204789 228566 273052 342849 344786 409578 457132 517179 685698 689572 782399 819156 1034358 1371396 1564798 2068716 2347197 3129596 4694394 9388788 10171187 20342374 30513561 40684748 61027122 122054244