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2061222984 = 233331541569
BaseRepresentation
bin111101011011011…
…1100010001001000
312022122112222101000
41322312330101020
513210133113414
6540311055000
7102036051312
oct17266742110
95278488330
102061222984
11968563377
12496371460
1326b061b92
14157a747b2
15c0e57b09
hex7adbc448

2061222984 has 128 divisors (see below), whose sum is σ = 5931648000. Its totient is φ = 662515200.

The previous prime is 2061222983. The next prime is 2061223009. The reversal of 2061222984 is 4892221602.

2061222984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2061222983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3622252 + ... + 3622820.

It is an arithmetic number, because the mean of its divisors is an integer number (46341000).

Almost surely, 22061222984 is an apocalyptic number.

2061222984 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 2061222984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965824000).

2061222984 is an abundant number, since it is smaller than the sum of its proper divisors (3870425016).

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

2061222984 is a wasteful number, since it uses less digits than its factorization.

2061222984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2061222984 is about 45400.6936510886. The cubic root of 2061222984 is about 1272.6480766590.

The spelling of 2061222984 in words is "two billion, sixty-one million, two hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 541 558 569 744 837 1082 1116 1138 1623 1674 1707 2164 2232 2276 3246 3348 3414 4328 4552 4869 5121 6492 6696 6828 9738 10242 12984 13656 14607 15363 16771 17639 19476 20484 29214 30726 33542 35278 38952 40968 50313 52917 58428 61452 67084 70556 100626 105834 116856 122904 134168 141112 150939 158751 201252 211668 301878 307829 317502 402504 423336 452817 476253 603756 615658 635004 905634 923487 952506 1207512 1231316 1270008 1811268 1846974 1905012 2462632 2770461 3622536 3693948 3810024 5540922 7387896 8311383 9542699 11081844 16622766 19085398 22163688 28628097 33245532 38170796 57256194 66491064 76341592 85884291 114512388 171768582 229024776 257652873 343537164 515305746 687074328 1030611492 2061222984