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2001212440 = 2353110715083
BaseRepresentation
bin111011101001000…
…0001010000011000
312011110122010101021
41313102001100120
513044302244230
6530324532224
7100410011413
oct16722012030
95143563337
102001212440
119376a5587
1247a251074
1325b7b0196
1414dad2b7a
15baa51c7a
hex77481418

2001212440 has 64 divisors (see below), whose sum is σ = 4691727360. Its totient is φ = 767372160.

The previous prime is 2001212431. The next prime is 2001212491. The reversal of 2001212440 is 442121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125139 + ... + 140221.

It is an arithmetic number, because the mean of its divisors is an integer number (73308240).

Almost surely, 22001212440 is an apocalyptic number.

2001212440 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 2001212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345863680).

2001212440 is an abundant number, since it is smaller than the sum of its proper divisors (2690514920).

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

2001212440 is a wasteful number, since it uses less digits than its factorization.

2001212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2001212440 is about 44734.9129875090. The cubic root of 2001212440 is about 1260.1755949113.

Adding to 2001212440 its reverse (442121002), we get a palindrome (2443333442).

The spelling of 2001212440 in words is "two billion, one million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 107 124 155 214 248 310 428 535 620 856 1070 1240 2140 3317 4280 6634 13268 15083 16585 26536 30166 33170 60332 66340 75415 120664 132680 150830 301660 467573 603320 935146 1613881 1870292 2337865 3227762 3740584 4675730 6455524 8069405 9351460 12911048 16138810 18702920 32277620 50030311 64555240 100060622 200121244 250151555 400242488 500303110 1000606220 2001212440