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2071234152 = 233413713463
BaseRepresentation
bin111101101110100…
…1000011001101000
312100100101121010000
41323131020121220
513220213443102
6541305423000
7102220125351
oct17335103150
95310347100
102071234152
11973180969
1249979aa60
13270158850
1415911cd28
15c1c8401c
hex7b748668

2071234152 has 160 divisors (see below), whose sum is σ = 6337457280. Its totient is φ = 628145280.

The previous prime is 2071234141. The next prime is 2071234171. The reversal of 2071234152 is 2514321702.

It is a super-2 number, since 2×20712341522 = 8580021824822318208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596373 + ... + 599835.

It is an arithmetic number, because the mean of its divisors is an integer number (39609108).

Almost surely, 22071234152 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 2071234152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168728640).

2071234152 is an abundant number, since it is smaller than the sum of its proper divisors (4266223128).

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

2071234152 is a wasteful number, since it uses less digits than its factorization.

2071234152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2071234152 is about 45510.8135721611. The cubic root of 2071234152 is about 1274.7051276572.

Adding to 2071234152 its reverse (2514321702), we get a palindrome (4585555854).

The spelling of 2071234152 in words is "two billion, seventy-one million, two hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 81 104 108 117 142 156 162 213 216 234 284 312 324 351 426 468 568 639 648 702 852 923 936 1053 1278 1404 1704 1846 1917 2106 2556 2769 2808 3463 3692 3834 4212 5112 5538 5751 6926 7384 7668 8307 8424 10389 11076 11502 13852 15336 16614 20778 22152 23004 24921 27704 31167 33228 41556 45019 46008 49842 62334 66456 74763 83112 90038 93501 99684 124668 135057 149526 180076 187002 199368 245873 249336 270114 280503 299052 360152 374004 405171 491746 540228 561006 598104 737619 748008 810342 983492 1080456 1122012 1215513 1475238 1620684 1966984 2212857 2244024 2431026 2950476 3196349 3241368 3646539 4425714 4862052 5900952 6392698 6638571 7293078 8851428 9589047 9724104 12785396 13277142 14586156 17702856 19178094 19915713 25570792 26554284 28767141 29172312 38356188 39831426 53108568 57534282 76712376 79662852 86301423 115068564 159325704 172602846 230137128 258904269 345205692 517808538 690411384 1035617076 2071234152