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2172030816 = 253241269349
BaseRepresentation
bin1000000101110110…
…1000111101100000
312121101001121010210
42001131220331200
513422014441231
6555310054120
7104552646234
oct20135507540
95541047123
102172030816
11a1506699a
125074aa340
13287cbab47
1416867a5c4
15caa44a46
hex81768f60

2172030816 has 96 divisors (see below), whose sum is σ = 5762988000. Its totient is φ = 716267520.

The previous prime is 2172030767. The next prime is 2172030821. The reversal of 2172030816 is 6180302712.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6223410 + ... + 6223758.

It is an arithmetic number, because the mean of its divisors is an integer number (60031125).

Almost surely, 22172030816 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 2172030816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881494000).

2172030816 is an abundant number, since it is smaller than the sum of its proper divisors (3590957184).

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

2172030816 is a wasteful number, since it uses less digits than its factorization.

2172030816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2172030816 is about 46605.0514000360. The cubic root of 2172030816 is about 1295.0563356082.

The spelling of 2172030816 in words is "two billion, one hundred seventy-two million, thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 269 349 482 538 698 723 807 964 1047 1076 1396 1446 1614 1928 2094 2152 2792 2892 3228 3856 4188 4304 5584 5784 6456 7712 8376 8608 11168 11568 12912 16752 23136 25824 33504 64829 84109 93881 129658 168218 187762 194487 252327 259316 281643 336436 375524 388974 504654 518632 563286 672872 751048 777948 1009308 1037264 1126572 1345744 1502096 1555896 2018616 2074528 2253144 2691488 3004192 3111792 4037232 4506288 6223584 8074464 9012576 22625321 45250642 67875963 90501284 135751926 181002568 271503852 362005136 543007704 724010272 1086015408 2172030816