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22301655040 = 2145738891
BaseRepresentation
bin10100110001010010…
…000100000000000000
32010120020111110101201
4110301102010000000
5331133210430130
614124545510544
71416440640310
oct246122040000
963506443351
1022301655040
119504780575
1243a4942454
1321454ac1b2
141117c65440
158a7d67bca
hex531484000

22301655040 has 120 divisors (see below), whose sum is σ = 61169959872. Its totient is φ = 7646085120.

The previous prime is 22301655001. The next prime is 22301655059. The reversal of 22301655040 is 4055610322.

It is a super-3 number, since 3×223016550403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553995 + ... + 592885.

Almost surely, 222301655040 is an apocalyptic number.

22301655040 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 22301655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30584979936).

22301655040 is an abundant number, since it is smaller than the sum of its proper divisors (38868304832).

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

22301655040 is an frugal number, since it uses more digits than its factorization.

22301655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38931 (or 38905 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 22301655040 in words is "twenty-two billion, three hundred one million, six hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 16384 17920 20480 28672 35840 38891 40960 57344 71680 77782 81920 114688 143360 155564 194455 272237 286720 311128 388910 544474 573440 622256 777820 1088948 1244512 1361185 1555640 2177896 2489024 2722370 3111280 4355792 4978048 5444740 6222560 8711584 9956096 10889480 12445120 17423168 19912192 21778960 24890240 34846336 39824384 43557920 49780480 69692672 79648768 87115840 99560960 139385344 159297536 174231680 199121920 278770688 318595072 348463360 398243840 557541376 637190144 696926720 796487680 1115082752 1393853440 1592975360 2230165504 2787706880 3185950720 4460331008 5575413760 11150827520 22301655040