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22958249472 = 29339111823
BaseRepresentation
bin10101011000011010…
…110001011000000000
32012020222222220122000
4111120122301120000
5334004302440342
614314042544000
71441632620634
oct253032613000
965228886560
1022958249472
1198113736a4
124548808000
13221b531902
14117b140dc4
158e581444c
hex5586b1600

22958249472 has 160 divisors (see below), whose sum is σ = 68069928960. Its totient is φ = 7640156160.

The previous prime is 22958249449. The next prime is 22958249477. The reversal of 22958249472 is 27494285922.

22958249472 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 82 + 494 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22958249477) 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, 12592753 + ... + 12594575.

It is an arithmetic number, because the mean of its divisors is an integer number (425437056).

Almost surely, 222958249472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22958249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34034964480).

22958249472 is an abundant number, since it is smaller than the sum of its proper divisors (45111679488).

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

22958249472 is an equidigital number, since it uses as much as digits as its factorization.

22958249472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2739 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 22958249472 in words is "twenty-two billion, nine hundred fifty-eight million, two hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 911 1152 1536 1728 1822 1823 2304 2733 3456 3644 3646 4608 5466 5469 6912 7288 7292 8199 10932 10938 13824 14576 14584 16398 16407 21864 21876 24597 29152 29168 32796 32814 43728 43752 49194 49221 58304 58336 65592 65628 87456 87504 98388 98442 116608 116672 131184 131256 174912 175008 196776 196884 233216 233344 262368 262512 349824 350016 393552 393768 466432 466688 524736 525024 699648 700032 787104 787536 933376 1049472 1050048 1399296 1400064 1574208 1575072 1660753 2098944 2100096 2800128 3148416 3150144 3321506 4197888 4200192 4982259 6296832 6300288 6643012 8400384 9964518 12593664 12600576 13286024 14946777 19929036 25201152 26572048 29893554 39858072 44840331 53144096 59787108 79716144 89680662 106288192 119574216 159432288 179361324 212576384 239148432 318864576 358722648 425152768 478296864 637729152 717445296 850305536 956593728 1275458304 1434890592 1913187456 2550916608 2869781184 3826374912 5739562368 7652749824 11479124736 22958249472