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2123552004 = 223722326827
BaseRepresentation
bin111111010010010…
…1101010100000100
312110222211121201020
41332210231110010
513322112131004
6550415031140
7103423615500
oct17644552404
95428747636
102123552004
1199a765062
124b320b4b0
1327ac45c62
1416205b300
15c666a8d9
hex7e92d504

2123552004 has 108 divisors (see below), whose sum is σ = 6026310864. Its totient is φ = 580264608.

The previous prime is 2123551973. The next prime is 2123552009. The reversal of 2123552004 is 4002553212.

It is a super-2 number, since 2×21235520042 = 9018946227384832032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123552009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307639 + ... + 314465.

Almost surely, 22123552004 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 2123552004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013155432).

2123552004 is an abundant number, since it is smaller than the sum of its proper divisors (3902758860).

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

2123552004 is a wasteful number, since it uses less digits than its factorization.

2123552004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2123552004 is about 46082.0138882840. The cubic root of 2123552004 is about 1285.3487128621.

The spelling of 2123552004 in words is "two billion, one hundred twenty-three million, five hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 529 588 644 966 1058 1127 1587 1932 2116 2254 3174 3381 3703 4508 6348 6762 6827 7406 11109 13524 13654 14812 20481 22218 25921 27308 40962 44436 47789 51842 77763 81924 95578 103684 143367 155526 157021 191156 286734 311052 314042 334523 471063 573468 628084 669046 942126 1003569 1099147 1338092 1884252 2007138 2198294 3297441 3611483 4014276 4396588 6594882 7222966 7694029 10834449 13189764 14445932 15388058 21668898 23082087 25280381 30776116 43337796 46164174 50560762 75841143 92328348 101121524 151682286 176962667 303364572 353925334 530888001 707850668 1061776002 2123552004