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2169997152 = 25329839391
BaseRepresentation
bin1000000101010111…
…1000011101100000
312121020020021110220
42001111320131200
513421004402102
6555154323040
7104526446211
oct20125703540
95536207426
102169997152
11a139a7a84
12506889480
132877582ab
141682ab408
15ca7921bc
hex81578760

2169997152 has 96 divisors (see below), whose sum is σ = 5964295680. Its totient is φ = 689902080.

The previous prime is 2169997091. The next prime is 2169997177. The reversal of 2169997152 is 2517999612.

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

It is a super-2 number, since 2×21699971522 = 9417775279376222208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2169997095 and 2169997104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226377 + ... + 235767.

It is an arithmetic number, because the mean of its divisors is an integer number (62128080).

Almost surely, 22169997152 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 2169997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982147840).

2169997152 is an abundant number, since it is smaller than the sum of its proper divisors (3794298528).

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

2169997152 is a wasteful number, since it uses less digits than its factorization.

2169997152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9508 counting only the distinct ones).

The product of its digits is 612360, while the sum is 51.

The square root of 2169997152 is about 46583.2282264765. The cubic root of 2169997152 is about 1294.6520239945.

The spelling of 2169997152 in words is "two billion, one hundred sixty-nine million, nine hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 83 87 96 116 166 174 232 249 332 348 464 498 664 696 928 996 1328 1392 1992 2407 2656 2784 3984 4814 7221 7968 9391 9628 14442 18782 19256 28173 28884 37564 38512 56346 57768 75128 77024 112692 115536 150256 225384 231072 272339 300512 450768 544678 779453 817017 901536 1089356 1558906 1634034 2178712 2338359 3117812 3268068 4357424 4676718 6235624 6536136 8714848 9353436 12471248 13072272 18706872 22604137 24942496 26144544 37413744 45208274 67812411 74827488 90416548 135624822 180833096 271249644 361666192 542499288 723332384 1084998576 2169997152