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2342214000330 = 2351937201755061
BaseRepresentation
bin100010000101010110110…
…101010101111011001010
322021220122220212021200220
4202011112311111323022
5301333323241002310
64551555342410510
7331135150340601
oct42052665257312
98256586767626
102342214000330
11823366818366
12319b2a890a36
1313cb400394a9
1481514242a38
1540dd6708670
hex22156d55eca

2342214000330 has 128 divisors (see below), whose sum is σ = 6080219147520. Its totient is φ = 575428976640.

The previous prime is 2342214000283. The next prime is 2342214000341. The reversal of 2342214000330 is 330004122432.

2342214000330 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 2×23422140003302 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2342214000330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42511000 + ... + 42566060.

It is an arithmetic number, because the mean of its divisors is an integer number (47501712090).

Almost surely, 22342214000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342214000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040109573760).

2342214000330 is an abundant number, since it is smaller than the sum of its proper divisors (3738005147190).

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

2342214000330 is a wasteful number, since it uses less digits than its factorization.

2342214000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57144.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2342214000330 its reverse (330004122432), we get a palindrome (2672218122762).

The spelling of 2342214000330 in words is "two trillion, three hundred forty-two billion, two hundred fourteen million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2017 2109 3515 4034 4218 6051 7030 10085 10545 12102 20170 21090 30255 38323 55061 60510 74629 76646 110122 114969 149258 165183 191615 223887 229938 275305 330366 373145 383230 447774 550610 574845 746290 825915 1046159 1119435 1149690 1417951 1651830 2037257 2092318 2238870 2835902 3138477 4074514 4253853 5230795 6111771 6276954 7089755 8507706 10186285 10461590 12223542 14179510 15692385 20372570 21269265 30558855 31384770 38707883 42538530 61117710 77415766 111058037 116123649 193539415 222116074 232247298 333174111 387078830 555290185 580618245 666348222 1110580370 1161236490 1665870555 2110102703 3331741110 4109147369 4220205406 6330308109 8218294738 10550513515 12327442107 12660616218 20545736845 21101027030 24654884214 31651540545 41091473690 61637210535 63303081090 78073800011 123274421070 156147600022 234221400033 390369000055 468442800066 780738000110 1171107000165 2342214000330