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122773364 = 22719892593
BaseRepresentation
bin1110101000101…
…01111101110100
322120000112101122
413110111331310
5222412221424
620103243112
73020361560
oct724257564
9276015348
10122773364
116333649a
1235149498
131c58837c
141243c6a0
15aba245e
hex7515f74

122773364 has 48 divisors (see below), whose sum is σ = 261475200. Its totient is φ = 49268736.

The previous prime is 122773267. The next prime is 122773369. The reversal of 122773364 is 463377221.

122773364 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

122773364 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122773369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46052 + ... + 48644.

It is an arithmetic number, because the mean of its divisors is an integer number (5447400).

Almost surely, 2122773364 is an apocalyptic number.

122773364 is a gapful number since it is divisible by the number (14) 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 122773364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130737600).

122773364 is an abundant number, since it is smaller than the sum of its proper divisors (138701836).

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

122773364 is a wasteful number, since it uses less digits than its factorization.

122773364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 122773364 is about 11080.3142554713. The cubic root of 122773364 is about 497.0133473333.

The spelling of 122773364 in words is "one hundred twenty-two million, seven hundred seventy-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 89 133 178 266 356 532 623 1246 1691 2492 2593 3382 5186 6764 10372 11837 18151 23674 36302 47348 49267 72604 98534 197068 230777 344869 461554 689738 923108 1379476 1615439 3230878 4384763 6461756 8769526 17539052 30693341 61386682 122773364