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2330214732 = 22322389103307
BaseRepresentation
bin1000101011100100…
…0100000101001100
320000101201011200100
42022321010011030
514233013332412
61023120331100
7111513332646
oct21271040514
96011634610
102330214732
11a963888aa
12550473a90
132b19c3ab1
14181695896
15d988dedc
hex8ae4414c

2330214732 has 144 divisors (see below), whose sum is σ = 6296209920. Its totient is φ = 725117184.

The previous prime is 2330214721. The next prime is 2330214737. The reversal of 2330214732 is 2374120332.

It is a junction number, because it is equal to n+sod(n) for n = 2330214696 and 2330214705.

It is not an unprimeable number, because it can be changed into a prime (2330214737) 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, 7590123 + ... + 7590429.

It is an arithmetic number, because the mean of its divisors is an integer number (43723680).

Almost surely, 22330214732 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 2330214732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148104960).

2330214732 is an abundant number, since it is smaller than the sum of its proper divisors (3965995188).

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

2330214732 is a wasteful number, since it uses less digits than its factorization.

2330214732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2330214732 is about 48272.2977700461. The cubic root of 2330214732 is about 1325.7612299820.

The spelling of 2330214732 in words is "two billion, three hundred thirty million, two hundred fourteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 103 138 178 206 207 267 276 307 309 356 412 414 534 614 618 801 828 921 927 1068 1228 1236 1602 1842 1854 2047 2369 2763 3204 3684 3708 4094 4738 5526 6141 7061 7107 8188 9167 9476 11052 12282 14122 14214 18334 18423 21183 21321 24564 27323 27501 28244 28428 31621 36668 36846 42366 42642 54646 55002 63242 63549 73692 81969 82503 84732 85284 94863 109292 110004 126484 127098 163938 165006 189726 210841 245907 254196 284589 327876 330012 379452 421682 491814 569178 628429 632523 727283 843364 983628 1138356 1256858 1265046 1454566 1885287 1897569 2181849 2513716 2530092 2814269 2909132 3770574 3795138 4363698 5628538 5655861 6545547 7541148 7590276 8442807 8727396 11257076 11311722 13091094 16885614 22623444 25328421 26182188 33771228 50656842 64728187 101313684 129456374 194184561 258912748 388369122 582553683 776738244 1165107366 2330214732