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2157106224 = 243721370549
BaseRepresentation
bin1000000010010010…
…1101010000110000
312120022222100110010
42000210231100300
513404204344344
6554014134520
7104312046300
oct20044552060
95508870403
102157106224
11a076a2919
125024b1440
13284b93920
141666b3600
15c95978b9
hex8092d430

2157106224 has 120 divisors (see below), whose sum is σ = 6981063600. Its totient is φ = 568899072.

The previous prime is 2157106213. The next prime is 2157106241. The reversal of 2157106224 is 4226017512.

It is a junction number, because it is equal to n+sod(n) for n = 2157106191 and 2157106200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699 + ... + 65850.

It is an arithmetic number, because the mean of its divisors is an integer number (58175530).

Almost surely, 22157106224 is an apocalyptic number.

2157106224 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 2157106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490531800).

2157106224 is an abundant number, since it is smaller than the sum of its proper divisors (4823957376).

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

2157106224 is a wasteful number, since it uses less digits than its factorization.

2157106224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70587 (or 70574 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2157106224 is about 46444.6576475702. The cubic root of 2157106224 is about 1292.0832920196.

The spelling of 2157106224 in words is "two billion, one hundred fifty-seven million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 70549 141098 211647 282196 423294 493843 564392 846588 917137 987686 1128784 1481529 1693176 1834274 1975372 2751411 2963058 3386352 3456901 3668548 3950744 5502822 5926116 6419959 6913802 7337096 7901488 10370703 11005644 11852232 12839918 13827604 14674192 19259877 20741406 22011288 23704464 25679836 27655208 38519754 41482812 44022576 44939713 51359672 55310416 77039508 82965624 89879426 102719344 134819139 154079016 165931248 179758852 269638278 308158032 359517704 539276556 719035408 1078553112 2157106224