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2210155040 = 255173721961
BaseRepresentation
bin1000001110111100…
…0100101000100000
312201000210111202002
42003233010220200
514011244430130
61003151143132
7105525002462
oct20357045040
95630714662
102210155040
11a34636215
12518214aa8
13292b78962
1416d762132
15ce075b45
hex83bc4a20

2210155040 has 96 divisors (see below), whose sum is σ = 5678319024. Its totient is φ = 809533440.

The previous prime is 2210155037. The next prime is 2210155043. The reversal of 2210155040 is 405510122.

It is an interprime number because it is at equal distance from previous prime (2210155037) and next prime (2210155043).

It can be written as a sum of positive squares in 8 ways, for example, as 1982386576 + 227768464 = 44524^2 + 15092^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2210155043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89660 + ... + 111620.

Almost surely, 22210155040 is an apocalyptic number.

2210155040 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 2210155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839159512).

2210155040 is an abundant number, since it is smaller than the sum of its proper divisors (3468163984).

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

2210155040 is a wasteful number, since it uses less digits than its factorization.

2210155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22030 (or 22022 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2210155040 is about 47012.2860537541. The cubic root of 2210155040 is about 1302.5895208530.

Adding to 2210155040 its reverse (405510122), we get a palindrome (2615665162).

The spelling of 2210155040 in words is "two billion, two hundred ten million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 544 592 629 680 740 1184 1258 1360 1480 2516 2720 2960 3145 5032 5920 6290 10064 12580 20128 21961 25160 43922 50320 87844 100640 109805 175688 219610 351376 373337 439220 702752 746674 812557 878440 1493348 1625114 1756880 1866685 2986696 3250228 3513760 3733370 4062785 5973392 6500456 7466740 8125570 11946784 13000912 13813469 14933480 16251140 26001824 27626938 29866960 32502280 55253876 59733920 65004560 69067345 110507752 130009120 138134690 221015504 276269380 442031008 552538760 1105077520 2210155040