Search a number
-
+
2201155000 = 235411311291
BaseRepresentation
bin1000001100110010…
…1111010110111000
312200101212021000021
42003030233112320
514001443430000
61002230220224
7105355336342
oct20314572670
95611767007
102201155000
11a2a549370
125151b4674
132910472a5
1416c49c292
15cd39911a
hex8332f5b8

2201155000 has 160 divisors (see below), whose sum is σ = 5812139520. Its totient is φ = 774000000.

The previous prime is 2201154979. The next prime is 2201155001. The reversal of 2201155000 is 5511022.

2201155000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201155001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1704355 + ... + 1705645.

It is an arithmetic number, because the mean of its divisors is an integer number (36325872).

Almost surely, 22201155000 is an apocalyptic number.

2201155000 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 2201155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906069760).

2201155000 is an abundant number, since it is smaller than the sum of its proper divisors (3610984520).

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

2201155000 is a wasteful number, since it uses less digits than its factorization.

2201155000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2201155000 is about 46916.4683240331. The cubic root of 2201155000 is about 1300.8190105356.

Adding to 2201155000 its reverse (5511022), we get a palindrome (2206666022).

The spelling of 2201155000 in words is "two billion, two hundred one million, one hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 625 682 775 1000 1100 1240 1250 1291 1364 1375 1550 1705 2200 2500 2582 2728 2750 3100 3410 3875 5000 5164 5500 6200 6455 6820 6875 7750 8525 10328 11000 12910 13640 13750 14201 15500 17050 19375 25820 27500 28402 31000 32275 34100 38750 40021 42625 51640 55000 56804 64550 68200 71005 77500 80042 85250 113608 129100 142010 155000 160084 161375 170500 200105 213125 258200 284020 320168 322750 341000 355025 400210 426250 440231 568040 645500 710050 800420 806875 852500 880462 1000525 1291000 1420100 1600840 1613750 1705000 1760924 1775125 2001050 2201155 2840200 3227500 3521848 3550250 4002100 4402310 5002625 6455000 7100500 8004200 8804620 8875625 10005250 11005775 14201000 17609240 17751250 20010500 22011550 25013125 35502500 40021000 44023100 50026250 55028875 71005000 88046200 100052500 110057750 200105000 220115500 275144375 440231000 550288750 1100577500 2201155000