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212144220240 = 24351137822427
BaseRepresentation
bin1100010110010011000…
…1111110100001010000
3202021120200202222211020
43011210301332201100
511433432410021430
6241242510515440
721220063055631
oct3054461764120
9667520688736
10212144220240
1181a73977657
1235146805b80
131700b30ac04
14a3a6d21888
1557b96d1b10
hex3164c7e850

212144220240 has 80 divisors (see below), whose sum is σ = 663467053248. Its totient is φ = 56071149568.

The previous prime is 212144220229. The next prime is 212144220251. The reversal of 212144220240 is 42022441212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212144220229) and next prime (212144220251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212144220240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3884094 + ... + 3938333.

Almost surely, 2212144220240 is an apocalyptic number.

212144220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212144220240 is an abundant number, since it is smaller than the sum of its proper divisors (451322833008).

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

212144220240 is a wasteful number, since it uses less digits than its factorization.

212144220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822556 (or 7822550 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212144220240 its reverse (42022441212), we get a palindrome (254166661452).

The spelling of 212144220240 in words is "two hundred twelve billion, one hundred forty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 7822427 15644854 23467281 31289708 39112135 46934562 62579416 78224270 93869124 117336405 125158832 156448540 187738248 234672810 312897080 375476496 469345620 625794160 883934251 938691240 1767868502 1877382480 2651802753 3535737004 4419671255 5303605506 7071474008 8839342510 10607211012 13259013765 14142948016 17678685020 21214422024 26518027530 35357370040 42428844048 53036055060 70714740080 106072110120 212144220240