Search a number
-
+
2210156012020 = 2251179355935731
BaseRepresentation
bin100000001010010111100…
…100000110000111110100
321211021210120110101211211
4200022113210012013310
5242202344414341040
64411155345411204
7315451504063405
oct40122744060764
97737716411754
102210156012020
1178235a4a5150
122b8414939b04
131305559961c8
1478d877059ac
153c757d7a8ea
hex202979061f4

2210156012020 has 96 divisors (see below), whose sum is σ = 5128942694400. Its totient is φ = 793274601600.

The previous prime is 2210156012003. The next prime is 2210156012039. The reversal of 2210156012020 is 202106510122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2210156011982 and 2210156012000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61837555 + ... + 61873285.

It is an arithmetic number, because the mean of its divisors is an integer number (53426486400).

Almost surely, 22210156012020 is an apocalyptic number.

2210156012020 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 2210156012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564471347200).

2210156012020 is an abundant number, since it is smaller than the sum of its proper divisors (2918786682380).

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

2210156012020 is a wasteful number, since it uses less digits than its factorization.

2210156012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39389 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 2210156012020 in words is "two trillion, two hundred ten billion, one hundred fifty-six million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 3559 4345 7118 8690 14236 17380 17795 35590 35731 39149 71180 71462 78298 142924 156596 178655 195745 281161 357310 391490 393041 562322 714620 782980 786082 1124644 1405805 1572164 1965205 2811610 2822749 3092771 3930410 5623220 5645498 6185542 7860820 11290996 12371084 14113745 15463855 28227490 30927710 31050239 56454980 61855420 62100478 124200956 127166629 155251195 254333258 310502390 508666516 621004780 635833145 1271666290 1398832919 2543332580 2797665838 5595331676 6994164595 10046163691 13988329190 20092327382 27976658380 40184654764 50230818455 100461636910 110507800601 200923273820 221015601202 442031202404 552539003005 1105078006010 2210156012020