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214223421312 = 2732296412339
BaseRepresentation
bin1100011110000010110…
…1011111111110000000
3202110221121011100111100
43013200231133332000
512002212143440222
6242225103214400
721322441015425
oct3074055377600
9673847140440
10214223421312
118294059a14a
1235626ba7400
131727ccc5ac4
14a523115d4c
15588bedb4ac
hex31e0b5ff80

214223421312 has 96 divisors (see below), whose sum is σ = 637707213000. Its totient is φ = 68945458176.

The previous prime is 214223421287. The next prime is 214223421319. The reversal of 214223421312 is 213124322412.

214223421312 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 2 + 342 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214223421319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3172762 + ... + 3239577.

Almost surely, 2214223421312 is an apocalyptic number.

It is an amenable number.

214223421312 is an abundant number, since it is smaller than the sum of its proper divisors (423483791688).

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

214223421312 is a wasteful number, since it uses less digits than its factorization.

214223421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412388 (or 6412373 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 214223421312 its reverse (213124322412), we get a palindrome (427347743724).

The spelling of 214223421312 in words is "two hundred fourteen billion, two hundred twenty-three million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 6412339 12824678 19237017 25649356 38474034 51298712 57711051 76948068 102597424 115422102 153896136 185957831 205194848 230844204 307792272 371915662 410389696 461688408 557873493 615584544 743831324 820779392 923376816 1115746986 1231169088 1487662648 1673620479 1846753632 2231493972 2462338176 2975325296 3347240958 3693507264 4462987944 5950650592 6694481916 7387014528 8925975888 11901301184 13388963832 17851951776 23802602368 26777927664 35703903552 53555855328 71407807104 107111710656 214223421312