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2192313552 = 24311133110303
BaseRepresentation
bin1000001010101100…
…0000110011010000
312122210020001211020
42002223000303100
513442213013202
61001312515440
7105220233462
oct20253006320
95583201736
102192313552
11a2555a690
1251224bb80
1328c26cb70
1416b23a132
15cc6ee5bc
hex82ac0cd0

2192313552 has 160 divisors (see below), whose sum is σ = 6868893696. Its totient is φ = 593395200.

The previous prime is 2192313533. The next prime is 2192313569. The reversal of 2192313552 is 2553132912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207633 + ... + 217935.

Almost surely, 22192313552 is an apocalyptic number.

2192313552 is a gapful number since it is divisible by the number (22) 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 2192313552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434446848).

2192313552 is an abundant number, since it is smaller than the sum of its proper divisors (4676580144).

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

2192313552 is a wasteful number, since it uses less digits than its factorization.

2192313552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10363 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 2192313552 is about 46822.1480925427. The cubic root of 2192313552 is about 1299.0749932555.

The spelling of 2192313552 in words is "two billion, one hundred ninety-two million, three hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1612 1716 2046 2288 2418 2728 3224 3432 4092 4433 4836 5456 6448 6864 8184 8866 9672 10303 13299 16368 17732 19344 20606 26598 30909 35464 41212 53196 61818 70928 82424 106392 113333 123636 133939 164848 212784 226666 247272 267878 319393 339999 401817 453332 494544 535756 638786 679998 803634 906664 958179 1071512 1277572 1359996 1473329 1607268 1813328 1916358 2143024 2555144 2719992 2946658 3214536 3513323 3832716 4152109 4419987 5110288 5439984 5893316 6429072 7026646 7665432 8304218 8839974 10539969 11786632 12456327 14053292 15330864 16608436 17679948 21079938 23573264 24912654 28106584 33216872 35359896 42159876 45673199 49825308 56213168 66433744 70719792 84319752 91346398 99650616 137019597 168639504 182692796 199301232 274039194 365385592 548078388 730771184 1096156776 2192313552