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2196695424 = 27371174293
BaseRepresentation
bin1000001011101110…
…1110100110000000
312200002110200121210
42002323232212000
513444323223144
61001550450120
7105302413560
oct20273564600
95602420553
102196695424
11a27a82870
12513803940
132901454a1
1416ba5ada0
15cccb7ab9
hex82eee980

2196695424 has 128 divisors (see below), whose sum is σ = 7274868480. Its totient is φ = 570562560.

The previous prime is 2196695407. The next prime is 2196695441. The reversal of 2196695424 is 4245966912.

It is an interprime number because it is at equal distance from previous prime (2196695407) and next prime (2196695441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7579 + ... + 66714.

It is an arithmetic number, because the mean of its divisors is an integer number (56834910).

Almost surely, 22196695424 is an apocalyptic number.

2196695424 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 2196695424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637434240).

2196695424 is an abundant number, since it is smaller than the sum of its proper divisors (5078173056).

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

2196695424 is a wasteful number, since it uses less digits than its factorization.

2196695424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74328 (or 74316 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2196695424 is about 46868.9174613624. The cubic root of 2196695424 is about 1299.9399230620.

The spelling of 2196695424 in words is "two billion, one hundred ninety-six million, six hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 74293 148586 222879 297172 445758 520051 594344 817223 891516 1040102 1188688 1560153 1634446 1783032 2080204 2377376 2451669 3120306 3268892 3566064 4160408 4754752 4903338 5720561 6240612 6537784 7132128 8320816 9509504 9806676 11441122 12481224 13075568 14264256 16641632 17161683 19613352 22882244 24962448 26151136 28528512 33283264 34323366 39226704 45764488 49924896 52302272 66566528 68646732 78453408 91528976 99849792 104604544 137293464 156906816 183057952 199699584 274586928 313813632 366115904 549173856 732231808 1098347712 2196695424