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2141476700 = 22521119791297
BaseRepresentation
bin111111110100100…
…0101011101011100
312112020120021202212
41333221011131130
513341204223300
6552255135552
7104032152206
oct17751053534
95466507685
102141476700
119a9898160
124b92145b8
1328188089c
141645a5776
15c800b935
hex7fa4575c

2141476700 has 144 divisors (see below), whose sum is σ = 5407987200. Its totient is φ = 727833600.

The previous prime is 2141476637. The next prime is 2141476739. The reversal of 2141476700 is 76741412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650452 + ... + 1651748.

Almost surely, 22141476700 is an apocalyptic number.

2141476700 is a gapful number since it is divisible by the number (20) 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 2141476700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703993600).

2141476700 is an abundant number, since it is smaller than the sum of its proper divisors (3266510500).

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

2141476700 is a wasteful number, since it uses less digits than its factorization.

2141476700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 2141476700 is about 46276.0920994848. The cubic root of 2141476700 is about 1288.9550859723.

The spelling of 2141476700 in words is "two billion, one hundred forty-one million, four hundred seventy-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 79 95 100 110 158 190 209 220 275 316 380 395 418 475 550 790 836 869 950 1045 1100 1297 1501 1580 1738 1900 1975 2090 2594 3002 3476 3950 4180 4345 5188 5225 6004 6485 7505 7900 8690 10450 12970 14267 15010 16511 17380 20900 21725 24643 25940 28534 30020 32425 33022 37525 43450 49286 57068 64850 66044 71335 75050 82555 86900 98572 102463 123215 129700 142670 150100 165110 204926 246430 271073 285340 330220 356675 409852 412775 492860 512315 542146 616075 713350 825550 1024630 1084292 1127093 1232150 1355365 1426700 1651100 1946797 2049260 2254186 2464300 2561575 2710730 3893594 4508372 5123150 5421460 5635465 6776825 7787188 9733985 10246300 11270930 13553650 19467970 21414767 22541860 27107300 28177325 38935940 42829534 48669925 56354650 85659068 97339850 107073835 112709300 194679700 214147670 428295340 535369175 1070738350 2141476700