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2123823900 = 2235211643583
BaseRepresentation
bin111111010010110…
…1111101100011100
312111000100102200110
41332211233230130
513322144331100
6550424530020
7103426130262
oct17645575434
95430312613
102123823900
1199a930370
124b3320910
1327b00c943
141620cc432
15c66c1250
hex7e96fb1c

2123823900 has 72 divisors (see below), whose sum is σ = 6703570944. Its totient is φ = 514865600.

The previous prime is 2123823899. The next prime is 2123823901. The reversal of 2123823900 is 93283212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2123823899) and next prime (2123823901).

It is a super-2 number, since 2×21238239002 = 9021255916422420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123823901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318492 + ... + 325091.

It is an arithmetic number, because the mean of its divisors is an integer number (93105152).

Almost surely, 22123823900 is an apocalyptic number.

2123823900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123823900 is an abundant number, since it is smaller than the sum of its proper divisors (4579747044).

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

2123823900 is a wasteful number, since it uses less digits than its factorization.

2123823900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643611 (or 643604 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2123823900 is about 46084.9639253412. The cubic root of 2123823900 is about 1285.4035684779.

The spelling of 2123823900 in words is "two billion, one hundred twenty-three million, eight hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 643583 1287166 1930749 2574332 3217915 3861498 6435830 7079413 7722996 9653745 12871660 14158826 16089575 19307490 21238239 28317652 32179150 35397065 38614980 42476478 48268725 64358300 70794130 84952956 96537450 106191195 141588260 176985325 193074900 212382390 353970650 424764780 530955975 707941300 1061911950 2123823900