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3023123224 = 2311313732971
BaseRepresentation
bin1011010000110001…
…0011001100011000
321210200112120102211
42310030103030120
522142404420344
61215552004504
7134626060222
oct26414231430
97720476384
103023123224
111311524250
12704530734
1339241c414
14209705412
1512a610334
hexb4313318

3023123224 has 64 divisors (see below), whose sum is σ = 6402401280. Its totient is φ = 1325808000.

The previous prime is 3023123219. The next prime is 3023123227. The reversal of 3023123224 is 4223213203.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3023123195 and 3023123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023123227) 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, 1016059 + ... + 1019029.

It is an arithmetic number, because the mean of its divisors is an integer number (100037520).

Almost surely, 23023123224 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 3023123224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201200640).

3023123224 is an abundant number, since it is smaller than the sum of its proper divisors (3379278056).

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

3023123224 is a wasteful number, since it uses less digits than its factorization.

3023123224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3023123224 is about 54982.9357528315. The cubic root of 3023123224 is about 1445.9455860742.

Adding to 3023123224 its reverse (4223213203), we get a palindrome (7246336427).

The spelling of 3023123224 in words is "three billion, twenty-three million, one hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 373 682 746 1364 1492 2728 2971 2984 4103 5942 8206 11563 11884 16412 23126 23768 32681 32824 46252 65362 92101 92504 127193 130724 184202 254386 261448 368404 508772 736808 1013111 1017544 1108183 2026222 2216366 4052444 4432732 8104888 8865464 12190013 24380026 34353673 48760052 68707346 97520104 137414692 274829384 377890403 755780806 1511561612 3023123224