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22797091636900 = 225272682092
BaseRepresentation
bin1010010111011110111001…
…00011001000011010100100
32222201101021111211221110121
411023233130203020122210
510442001420424340100
6120252501143131324
74542015116450200
oct513573443103244
988641244757417
1022797091636900
11729a212a01349
12268228ba43b44
13c949ab0b6259
1458b556ac1b00
15298010b6351a
hex14bbdc8c86a4

22797091636900 has 81 divisors (see below), whose sum is σ = 57547216435779. Its totient is φ = 7816031112960.

The previous prime is 22797091636877. The next prime is 22797091636999. The reversal of 22797091636900 is 963619079722.

The square root of 22797091636900 is 4774630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 632053620324 + 22165038016576 = 795018^2 + 4707976^2 .

It is a super-2 number, since 2×227970916369002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 334189996 + ... + 334258204.

Almost surely, 222797091636900 is an apocalyptic number.

22797091636900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22797091636900 is the 4774630-th square number.

It is an amenable number.

22797091636900 is an abundant number, since it is smaller than the sum of its proper divisors (34750124798879).

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

22797091636900 is an frugal number, since it uses more digits than its factorization.

22797091636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136446 (or 68223 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 61.

The spelling of 22797091636900 in words is "twenty-two trillion, seven hundred ninety-seven billion, ninety-one million, six hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 68209 136418 272836 341045 477463 682090 954926 1364180 1705225 1909852 2387315 3342241 3410450 4774630 6684482 6820900 9549260 11936575 13368964 16711205 23873150 33422410 47746300 66844820 83556025 167112050 334224100 4652467681 9304935362 18609870724 23262338405 32567273767 46524676810 65134547534 93049353620 116311692025 130269095068 162836368835 227970916369 232623384050 325672737670 455941832738 465246768100 651345475340 814181844175 911883665476 1139854581845 1628363688350 2279709163690 3256727376700 4559418327380 5699272909225 11398545818450 22797091636900