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22940129280 = 21135746749
BaseRepresentation
bin10101010111010101…
…101001100000000000
32012012201220022101210
4111113111221200000
5333440133114110
614312154330120
71441322611245
oct252725514000
965181808353
1022940129280
119802117732
124542729940
132217858cc3
1411789855cc
158e3e35520
hex557569800

22940129280 has 96 divisors (see below), whose sum is σ = 73390590000. Its totient is φ = 6117359616.

The previous prime is 22940129269. The next prime is 22940129287. The reversal of 22940129280 is 8292104922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×229401292802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22940129287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342655 + ... + 404094.

Almost surely, 222940129280 is an apocalyptic number.

22940129280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22940129280 is an abundant number, since it is smaller than the sum of its proper divisors (50450460720).

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

22940129280 is an equidigital number, since it uses as much as digits as its factorization.

22940129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746779 (or 746759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 22940129280 in words is "twenty-two billion, nine hundred forty million, one hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 746749 1493498 2240247 2986996 3733745 4480494 5973992 7467490 8960988 11201235 11947984 14934980 17921976 22402470 23895968 29869960 35843952 44804940 47791936 59739920 71687904 89609880 95583872 119479840 143375808 179219760 191167744 238959680 286751616 358439520 382335488 477919360 573503232 716879040 764670976 955838720 1147006464 1433758080 1529341952 1911677440 2294012928 2867516160 3823354880 4588025856 5735032320 7646709760 11470064640 22940129280