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2215610940 = 2235536710399
BaseRepresentation
bin1000010000001111…
…1000101000111100
312201102001200211110
42010003320220330
514014144022230
61003504122020
7105622245054
oct20403705074
95642050743
102215610940
11a37722324
1251a006310
132940390ba
14170382564
15ce7a24b0
hex840f8a3c

2215610940 has 96 divisors (see below), whose sum is σ = 6415718400. Its totient is φ = 570974976.

The previous prime is 2215610939. The next prime is 2215610941. The reversal of 2215610940 is 490165122.

It is an interprime number because it is at equal distance from previous prime (2215610939) and next prime (2215610941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2215610898 and 2215610907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215610941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 207861 + ... + 218259.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 22215610940 is an apocalyptic number.

2215610940 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 2215610940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207859200).

2215610940 is an abundant number, since it is smaller than the sum of its proper divisors (4200107460).

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

2215610940 is a wasteful number, since it uses less digits than its factorization.

2215610940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2215610940 is about 47070.2766084925. The cubic root of 2215610940 is about 1303.6604801586.

The spelling of 2215610940 in words is "two billion, two hundred fifteen million, six hundred ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 67 106 134 159 201 212 265 268 318 335 402 530 636 670 795 804 1005 1060 1340 1590 2010 3180 3551 4020 7102 10399 10653 14204 17755 20798 21306 31197 35510 41596 42612 51995 53265 62394 71020 103990 106530 124788 155985 207980 213060 311970 551147 623940 696733 1102294 1393466 1653441 2090199 2204588 2755735 2786932 3306882 3483665 4180398 5511470 6613764 6967330 8267205 8360796 10450995 11022940 13934660 16534410 20901990 33068820 36926849 41803980 73853698 110780547 147707396 184634245 221561094 369268490 443122188 553902735 738536980 1107805470 2215610940