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214387900734 = 23773227330763
BaseRepresentation
bin1100011110101010000…
…0111100000100111110
3202111101001122202211210
43013222200330010332
512003031300310414
6242253300425250
721326506042320
oct3075240740476
9674331582753
10214387900734
1182a15420a57
12356720a8226
13172a80c43c7
14a53accd610
15589b67ae59
hex31ea83c13e

214387900734 has 64 divisors (see below), whose sum is σ = 496976914944. Its totient is φ = 60386052096.

The previous prime is 214387900733. The next prime is 214387900751. The reversal of 214387900734 is 437009783412.

214387900734 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 2×2143879007342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214387900733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6953637 + ... + 6984399.

It is an arithmetic number, because the mean of its divisors is an integer number (7765264296).

Almost surely, 2214387900734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214387900734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248488457472).

214387900734 is an abundant number, since it is smaller than the sum of its proper divisors (282589014210).

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

214387900734 is a wasteful number, since it uses less digits than its factorization.

214387900734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33121.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 214387900734 in words is "two hundred fourteen billion, three hundred eighty-seven million, nine hundred thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 2273 3066 4546 6819 13638 15911 30763 31822 47733 61526 92289 95466 165929 184578 215341 331858 430682 497787 646023 995574 1161503 1292046 2245699 2323006 3484509 4491398 6737097 6969018 13474194 15719893 31439786 47159679 69924299 94319358 139848598 209772897 419545794 489470093 978940186 1468410279 2936820558 5104473827 10208947654 15313421481 30626842962 35731316789 71462633578 107193950367 214387900734