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2213959392 = 25352312379
BaseRepresentation
bin1000001111110110…
…0101011011100000
312201021221210100000
42003331211123200
514013233200032
61003404500000
7105602226051
oct20375453340
95637853300
102213959392
11a367a4507
1251954a600
132938ab458
14170072728
15ce577e7c
hex83f656e0

2213959392 has 144 divisors (see below), whose sum is σ = 6813555840. Its totient is φ = 705843072.

The previous prime is 2213959357. The next prime is 2213959411. The reversal of 2213959392 is 2939593122.

2213959392 is a `hidden beast` number, since 2 + 21 + 39 + 593 + 9 + 2 = 666.

2213959392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 172659 + ... + 185037.

It is an arithmetic number, because the mean of its divisors is an integer number (47316360).

Almost surely, 22213959392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213959392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406777920).

2213959392 is an abundant number, since it is smaller than the sum of its proper divisors (4599596448).

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

2213959392 is a wasteful number, since it uses less digits than its factorization.

2213959392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12427 (or 12407 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 2213959392 is about 47052.7299101763. The cubic root of 2213959392 is about 1303.3364772670.

The spelling of 2213959392 in words is "two billion, two hundred thirteen million, nine hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6624 7452 7776 9936 11178 12379 14904 19872 22356 24758 29808 37137 44712 49516 59616 74274 89424 99032 111411 148548 178848 198064 222822 284717 297096 334233 396128 445644 569434 594192 668466 854151 891288 1002699 1138868 1188384 1336932 1708302 1782576 2005398 2277736 2562453 2673864 3008097 3416604 3565152 4010796 4555472 5124906 5347728 6016194 6833208 7687359 8021592 9110944 10249812 10695456 12032388 13666416 15374718 16043184 20499624 23062077 24064776 27332832 30749436 32086368 40999248 46124154 48129552 61498872 69186231 81998496 92248308 96259104 122997744 138372462 184496616 245995488 276744924 368993232 553489848 737986464 1106979696 2213959392