Search a number
-
+
2214070854700 = 2252139227701699
BaseRepresentation
bin100000001110000000111…
…010000010010000101100
321211122220101221000102011
4200032000322002100230
5242233404114322300
64413044034211004
7315650511514045
oct40160072022054
97748811830364
102214070854700
11783a89305421
122b9127a23a64
13130a2aa6cc73
147923960d8cc
153c8d68cdeba
hex20380e8242c

2214070854700 has 72 divisors (see below), whose sum is σ = 4860423288000. Its totient is φ = 875382288960.

The previous prime is 2214070854647. The next prime is 2214070854719. The reversal of 2214070854700 is 74580704122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2804451 + ... + 3506149.

It is an arithmetic number, because the mean of its divisors is an integer number (67505879000).

Almost surely, 22214070854700 is an apocalyptic number.

2214070854700 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 2214070854700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430211644000).

2214070854700 is an abundant number, since it is smaller than the sum of its proper divisors (2646352433300).

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

2214070854700 is a wasteful number, since it uses less digits than its factorization.

2214070854700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702079 (or 702072 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 2214070854700 in words is "two trillion, two hundred fourteen billion, seventy million, eight hundred fifty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 227 278 454 556 695 908 1135 1390 2270 2780 3475 4540 5675 6950 11350 13900 22700 31553 63106 126212 157765 315530 631060 701699 788825 1403398 1577650 2806796 3155300 3508495 7016990 14033980 17542475 35084950 70169900 97536161 159285673 195072322 318571346 390144644 487680805 637142692 796428365 975361610 1592856730 1950723220 2438404025 3185713460 3982141825 4876808050 7964283650 9753616100 15928567300 22140708547 44281417094 88562834188 110703542735 221407085470 442814170940 553517713675 1107035427350 2214070854700