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22107032000 = 265319145441
BaseRepresentation
bin10100100101101011…
…101000100111000000
32010001200021120202222
4110211223220213000
5330233400011000
614053354230212
71411555446224
oct244553504700
963050246688
1022107032000
119414930389
12434b725368
132114088431
1410da082784
15895c21a85
hex525ae89c0

22107032000 has 112 divisors (see below), whose sum is σ = 57629938080. Its totient is φ = 8377344000.

The previous prime is 22107031889. The next prime is 22107032011. The reversal of 22107032000 is 23070122.

It is a self number, because there is not a number n which added to its sum of digits gives 22107032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79280 + ... + 224720.

Almost surely, 222107032000 is an apocalyptic number.

22107032000 is a gapful number since it is divisible by the number (20) 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 22107032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28814969040).

22107032000 is an abundant number, since it is smaller than the sum of its proper divisors (35522906080).

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

22107032000 is a wasteful number, since it uses less digits than its factorization.

22107032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145487 (or 145467 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The spelling of 22107032000 in words is "twenty-two billion, one hundred seven million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 15200 19000 30400 38000 76000 145441 152000 290882 581764 727205 1163528 1454410 2327056 2763379 2908820 3636025 4654112 5526758 5817640 7272050 9308224 11053516 11635280 13816895 14544100 18180125 22107032 23270560 27633790 29088200 36360250 44214064 46541120 55267580 58176400 69084475 72720500 88428128 110535160 116352800 138168950 145441000 176856256 221070320 232705600 276337900 290882000 345422375 442140640 552675800 581764000 690844750 884281280 1105351600 1163528000 1381689500 2210703200 2763379000 4421406400 5526758000 11053516000 22107032000