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2197049472 = 273213812
BaseRepresentation
bin1000001011110100…
…0101000010000000
312200010010200021200
42002331011002000
513444421040342
61002002221200
7105305420022
oct20275050200
95603120250
102197049472
11a281a4872
12513954800
1329023a697
1416bb10012
15ccd3794c
hex82f45080

2197049472 has 72 divisors (see below), whose sum is σ = 6326820045. Its totient is φ = 731819520.

The previous prime is 2197049471. The next prime is 2197049549. The reversal of 2197049472 is 2749407912.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2197049472 is a `hidden beast` number, since 2 + 1 + 97 + 0 + 494 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2192486976 + 4562496 = 46824^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33144.

It is not an unprimeable number, because it can be changed into a prime (2197049471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1590222 + ... + 1591602.

Almost surely, 22197049472 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 2197049472

2197049472 is an abundant number, since it is smaller than the sum of its proper divisors (4129770573).

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

2197049472 is an frugal number, since it uses more digits than its factorization.

2197049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2197049472 is about 46872.6943112939. The cubic root of 2197049472 is about 1300.0097577177.

The spelling of 2197049472 in words is "two billion, one hundred ninety-seven million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1381 2762 4143 5524 8286 11048 12429 16572 22096 24858 33144 44192 49716 66288 88384 99432 132576 176768 198864 265152 397728 530304 795456 1590912 1907161 3814322 5721483 7628644 11442966 15257288 17164449 22885932 30514576 34328898 45771864 61029152 68657796 91543728 122058304 137315592 183087456 244116608 274631184 366174912 549262368 732349824 1098524736 2197049472