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2123805348 = 2232779106681
BaseRepresentation
bin111111010010110…
…1011001010100100
312111000022111020100
41332211223022210
513322143232343
6550424304100
7103426022220
oct17645531244
95430274210
102123805348
1199a918435
124b3312030
1327b004372
141620c5780
15c66ba9d3
hex7e96b2a4

2123805348 has 72 divisors (see below), whose sum is σ = 6213159680. Its totient is φ = 599114880.

The previous prime is 2123805337. The next prime is 2123805361. The reversal of 2123805348 is 8435083212.

2123805348 is a `hidden beast` number, since 21 + 23 + 80 + 534 + 8 = 666.

It is a super-2 number, since 2×21238053482 = 9021098312386802208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33433 + ... + 73248.

Almost surely, 22123805348 is an apocalyptic number.

2123805348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2123805348 is an abundant number, since it is smaller than the sum of its proper divisors (4089354332).

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

2123805348 is a wasteful number, since it uses less digits than its factorization.

2123805348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106777 (or 106772 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2123805348 is about 46084.7626445011. The cubic root of 2123805348 is about 1285.3998257200.

The spelling of 2123805348 in words is "two billion, one hundred twenty-three million, eight hundred five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 106681 213362 320043 426724 640086 746767 960129 1280172 1493534 1920258 2240301 2987068 3840516 4480602 6720903 8427799 8961204 13441806 16855598 25283397 26883612 33711196 50566794 58994593 75850191 101133588 117989186 151700382 176983779 235978372 303400764 353967558 530951337 707935116 1061902674 2123805348