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2122667340 = 2235311141219
BaseRepresentation
bin111111010000101…
…0101010101001100
312110221011200011220
41332201111111030
513321400323330
6550344043340
7103413242343
oct17641252514
95427150156
102122667340
1199a210432
124b2a63550
1327a9c63a1
14161caab5a
15c6543710
hex7e85554c

2122667340 has 48 divisors (see below), whose sum is σ = 6135198720. Its totient is φ = 547784640.

The previous prime is 2122667329. The next prime is 2122667341. The reversal of 2122667340 is 437662212.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2122667341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568750 + ... + 572469.

It is an arithmetic number, because the mean of its divisors is an integer number (127816640).

Almost surely, 22122667340 is an apocalyptic number.

2122667340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122667340 is an abundant number, since it is smaller than the sum of its proper divisors (4012531380).

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

2122667340 is a wasteful number, since it uses less digits than its factorization.

2122667340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141262 (or 1141260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2122667340 is about 46072.4140891271. The cubic root of 2122667340 is about 1285.1701975456.

The spelling of 2122667340 in words is "two billion, one hundred twenty-two million, six hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1141219 2282438 3423657 4564876 5706095 6847314 11412190 13694628 17118285 22824380 34236570 35377789 68473140 70755578 106133367 141511156 176888945 212266734 353777890 424533468 530666835 707555780 1061333670 2122667340