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214336901772 = 2232715715433511
BaseRepresentation
bin1100011110011101111…
…0011001001010001100
3202111020111200202102100
43013213132121022030
512002430221324042
6242244235355100
721325316414310
oct3074736311214
9674214622370
10214336901772
1182999658754
1235658bb2a90
131729a6793c6
14a534215b40
155896e5524c
hex31e779928c

214336901772 has 144 divisors (see below), whose sum is σ = 623720860672. Its totient is φ = 60792301440.

The previous prime is 214336901771. The next prime is 214336901777. The reversal of 214336901772 is 277109633412.

214336901772 is a `hidden beast` number, since 214 + 3 + 369 + 0 + 1 + 7 + 72 = 666.

It is a super-2 number, since 2×2143369017722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214336901771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61045497 + ... + 61049007.

Almost surely, 2214336901772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214336901772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311860430336).

214336901772 is an abundant number, since it is smaller than the sum of its proper divisors (409383958900).

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

214336901772 is a wasteful number, since it uses less digits than its factorization.

214336901772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 214336901772 in words is "two hundred fourteen billion, three hundred thirty-six million, nine hundred one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 942 1099 1413 1543 1884 2198 2826 3086 3297 3511 4396 4629 5652 6172 6594 7022 9258 9891 10533 10801 13188 13887 14044 18516 19782 21066 21602 24577 27774 31599 32403 39564 42132 43204 49154 55548 63198 64806 73731 97209 98308 126396 129612 147462 194418 221193 242251 294924 388836 442386 484502 551227 726753 884772 969004 1102454 1453506 1653681 1695757 2180259 2204908 2907012 3307362 3391514 3858589 4360518 4961043 5087271 5417473 6614724 6783028 7717178 8721036 9922086 10174542 10834946 11575767 15261813 15434356 16252419 19844172 20349084 21669892 23151534 30523626 32504838 34727301 37922311 46303068 48757257 61047252 65009676 69454602 75844622 97514514 113766933 138909204 151689244 195029028 227533866 341300799 455067732 682601598 850543261 1365203196 1701086522 2551629783 3402173044 5103259566 5953802827 7654889349 10206519132 11907605654 15309778698 17861408481 23815211308 30619557396 35722816962 53584225443 71445633924 107168450886 214336901772