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2169480144 = 243134773973
BaseRepresentation
bin1000000101001111…
…1010001111010000
312121012021000021110
42001103322033100
513420341331034
6555135253320
7104522163666
oct20123721720
95535230243
102169480144
11a136845a7
1250667a240
13287606b80
141681b4c36
15ca6ddde9
hex814fa3d0

2169480144 has 80 divisors (see below), whose sum is σ = 6164105472. Its totient is φ = 653320704.

The previous prime is 2169480121. The next prime is 2169480193. The reversal of 2169480144 is 4410849612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7659 + ... + 66314.

Almost surely, 22169480144 is an apocalyptic number.

2169480144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2169480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082052736).

2169480144 is an abundant number, since it is smaller than the sum of its proper divisors (3994625328).

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

2169480144 is a wasteful number, since it uses less digits than its factorization.

2169480144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74044 (or 74038 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2169480144 is about 46577.6786025238. The cubic root of 2169480144 is about 1294.5491976508.

The spelling of 2169480144 in words is "two billion, one hundred sixty-nine million, four hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7332 9776 14664 29328 73973 147946 221919 295892 443838 591784 887676 961649 1183568 1775352 1923298 2884947 3476731 3550704 3846596 5769894 6953462 7693192 10430193 11539788 13906924 15386384 20860386 23079576 27813848 41720772 45197503 46159152 55627696 83441544 90395006 135592509 166883088 180790012 271185018 361580024 542370036 723160048 1084740072 2169480144