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2189031936 = 29371315661
BaseRepresentation
bin1000001001111001…
…1111101000000000
312122120001100021220
42002132133220000
513440343010221
61001114315040
7105150315210
oct20236375000
95576040256
102189031936
11a23719103
12511128a80
1328b691290
1416aa24240
15cc2a20c6
hex8279fa00

2189031936 has 160 divisors (see below), whose sum is σ = 7177957248. Its totient is φ = 577290240.

The previous prime is 2189031931. The next prime is 2189031937. The reversal of 2189031936 is 6391309812.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2189031931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131946 + ... + 147606.

Almost surely, 22189031936 is an apocalyptic number.

2189031936 is a gapful number since it is divisible by the number (26) 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 2189031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588978624).

2189031936 is an abundant number, since it is smaller than the sum of its proper divisors (4988925312).

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

2189031936 is a wasteful number, since it uses less digits than its factorization.

2189031936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 2189031936 is about 46787.0915531196. The cubic root of 2189031936 is about 1298.4264859378.

The spelling of 2189031936 in words is "two billion, one hundred eighty-nine million, thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 15661 17472 19968 23296 31322 34944 46592 46983 62644 69888 93966 109627 125288 139776 187932 203593 219254 250576 328881 375864 407186 438508 501152 610779 657762 751728 814372 877016 1002304 1221558 1315524 1425151 1503456 1628744 1754032 2004608 2443116 2631048 2850302 3006912 3257488 3508064 4009216 4275453 4886232 5262096 5700604 6013824 6514976 7016128 8018432 8550906 9772464 10524192 11401208 12027648 13029952 14032256 17101812 19544928 21048384 22802416 24055296 26059904 28064512 34203624 39089856 42096768 45604832 52119808 56129024 68407248 78179712 84193536 91209664 104239616 136814496 156359424 168387072 182419328 273628992 312718848 364838656 547257984 729677312 1094515968 2189031936