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2133016700 = 22522937103193
BaseRepresentation
bin111111100100011…
…0100000001111100
312111122122110211112
41333020310001330
513332023013300
6551353541152
7103600225403
oct17710640174
95448573745
102133016700
119a503a021
124b64147b8
1327cbaac79
1416340263a
15c73d9e35
hex7f23407c

2133016700 has 144 divisors (see below), whose sum is σ = 4991138880. Its totient is φ = 789626880.

The previous prime is 2133016667. The next prime is 2133016709. The reversal of 2133016700 is 76103312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133016709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11051804 + ... + 11051996.

Almost surely, 22133016700 is an apocalyptic number.

2133016700 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 2133016700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495569440).

2133016700 is an abundant number, since it is smaller than the sum of its proper divisors (2858122180).

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

2133016700 is a wasteful number, since it uses less digits than its factorization.

2133016700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 2133016700 is about 46184.5937515964. The cubic root of 2133016700 is about 1287.2554875475.

The spelling of 2133016700 in words is "two billion, one hundred thirty-three million, sixteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 103 116 145 148 185 193 206 290 370 386 412 515 580 725 740 772 925 965 1030 1073 1450 1850 1930 2060 2146 2575 2900 2987 3700 3811 3860 4292 4825 5150 5365 5597 5974 7141 7622 9650 10300 10730 11194 11948 14282 14935 15244 19055 19300 19879 21460 22388 26825 27985 28564 29870 35705 38110 39758 53650 55970 59740 71410 74675 76220 79516 95275 99395 107300 110519 111940 139925 142820 149350 178525 190550 198790 207089 221038 279850 298700 357050 381100 397580 414178 442076 496975 552595 559700 576491 714100 735523 828356 993950 1035445 1105190 1152982 1471046 1987900 2070890 2210380 2305964 2762975 2882455 2942092 3677615 4141780 5177225 5525950 5764910 7355230 10354450 11051900 11529820 14412275 14710460 18388075 20708900 21330167 28824550 36776150 42660334 57649100 73552300 85320668 106650835 213301670 426603340 533254175 1066508350 2133016700