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2212931900 = 2252193137571
BaseRepresentation
bin1000001111100110…
…1010100100111100
312201020000120212202
42003321222210330
514013002310100
61003330451032
7105560416334
oct20371524474
95636016782
102212931900
11a36162543
12519133a78
1329360b87a
1416dc860c4
15ce4237d5
hex83e6a93c

2212931900 has 72 divisors (see below), whose sum is σ = 5217999360. Its totient is φ = 811512000.

The previous prime is 2212931899. The next prime is 2212931923. The reversal of 2212931900 is 91392122.

2212931900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22129319002 = 9794135188075220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40115 + ... + 77685.

Almost surely, 22212931900 is an apocalyptic number.

2212931900 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 2212931900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608999680).

2212931900 is an abundant number, since it is smaller than the sum of its proper divisors (3005067460).

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

2212931900 is a wasteful number, since it uses less digits than its factorization.

2212931900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37635 (or 37628 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 2212931900 is about 47041.8101267373. The cubic root of 2212931900 is about 1303.1348212009.

The spelling of 2212931900 in words is "two billion, two hundred twelve million, nine hundred thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 950 1178 1550 1900 2356 2945 3100 5890 11780 14725 29450 37571 58900 75142 150284 187855 375710 713849 751420 939275 1164701 1427698 1878550 2329402 2855396 3569245 3757100 4658804 5823505 7138490 11647010 14276980 17846225 22129319 23294020 29117525 35692450 44258638 58235050 71384900 88517276 110646595 116470100 221293190 442586380 553232975 1106465950 2212931900