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22345234000 = 245331360407
BaseRepresentation
bin10100110011111000…
…010011011001010000
32010200021111111111021
4110303320103121100
5331230334442000
614133143525224
71420510232545
oct246370233120
963607444437
1022345234000
119527336041
1243b7459814
132151529a6b
14111d96abcc
158abac511a
hex533e13650

22345234000 has 80 divisors (see below), whose sum is σ = 55773858816. Its totient is φ = 8649744000.

The previous prime is 22345233983. The next prime is 22345234007. The reversal of 22345234000 is 43254322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223452340003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22345234007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118204 + ... + 242203.

Almost surely, 222345234000 is an apocalyptic number.

22345234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22345234000 is an abundant number, since it is smaller than the sum of its proper divisors (33428624816).

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

22345234000 is a wasteful number, since it uses less digits than its factorization.

22345234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360461 (or 360445 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 22345234000 its reverse (43254322), we get a palindrome (22388488322).

The spelling of 22345234000 in words is "twenty-two billion, three hundred forty-five million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 360407 720814 1441628 1802035 2883256 3604070 5766512 7208140 9010175 11172617 14416280 18020350 22345234 28832560 36040700 44690468 45050875 55863085 72081400 89380936 90101750 111726170 144162800 178761872 180203500 223452340 279315425 360407000 446904680 558630850 720814000 893809360 1117261700 1396577125 2234523400 2793154250 4469046800 5586308500 11172617000 22345234000