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22081399103424 = 263791567929029
BaseRepresentation
bin1010000010101001110011…
…11100110001111111000000
32220011221221200002020201010
411001110321330301333000
510343240201132302144
6114544015452240520
74436220440341203
oct501247174617700
986157850066633
1022081399103424
11704373a151021
122587633a70140
13c423617a655b
14564a6160393a
152845c409b5b9
hex141539f31fc0

22081399103424 has 112 divisors (see below), whose sum is σ = 59201061785600. Its totient is φ = 7262650377216.

The previous prime is 22081399103419. The next prime is 22081399103441. The reversal of 22081399103424 is 42430199318022.

22081399103424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 23303742 + ... + 24232770.

It is an arithmetic number, because the mean of its divisors is an integer number (528580908800).

Almost surely, 222081399103424 is an apocalyptic number.

22081399103424 is a gapful number since it is divisible by the number (24) 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 22081399103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29600530892800).

22081399103424 is an abundant number, since it is smaller than the sum of its proper divisors (37119662682176).

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

22081399103424 is a wasteful number, since it uses less digits than its factorization.

22081399103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930690 (or 930680 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 22081399103424 in words is "twenty-two trillion, eighty-one billion, three hundred ninety-nine million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1567 1896 2528 3134 3792 4701 5056 6268 7584 9402 12536 15168 18804 25072 37608 50144 75216 100288 123793 150432 247586 300864 371379 495172 742758 929029 990344 1485516 1858058 1980688 2787087 2971032 3716116 3961376 5574174 5942064 7432232 7922752 11148348 11884128 14864464 22296696 23768256 29728928 44593392 59457856 73393291 89186784 146786582 178373568 220179873 293573164 440359746 587146328 880719492 1174292656 1455788443 1761438984 2348585312 2911576886 3522877968 4367365329 4697170624 5823153772 7045755936 8734730658 11646307544 14091511872 17469461316 23292615088 34938922632 46585230176 69877845264 93170460352 115007286997 139755690528 230014573994 279511381056 345021860991 460029147988 690043721982 920058295976 1380087443964 1840116591952 2760174887928 3680233183904 5520349775856 7360466367808 11040699551712 22081399103424